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Finding the Fourth Proportional to 2,697.17, 3,722.76 and 1,702.49

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Solution

The fourth proportional to 2,697.17, 3,722.76 and 1,702.49 is: 2,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.17 : 3,722.76 = 1,702.49 : x
  2. Step 2: Convert to fraction form
    2,697.17/3,722.76 = 1,702.49/x
  3. Step 3: Cross multiply
    2,697.17x = 3,722.76 × 1,702.49
  4. Step 4: Simplify right side
    2,697.17x = 6,337,943.06
  5. Step 5: Solve for x
    x = 6,337,943.06/2,697.17
  6. Step 6: Final answer
    x = 2,349.85

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.