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Finding the Fourth Proportional to 2,697.59, 3,723.23 and 1,702.20

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Solution

The fourth proportional to 2,697.59, 3,723.23 and 1,702.20 is: 2,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.59 : 3,723.23 = 1,702.20 : x
  2. Step 2: Convert to fraction form
    2,697.59/3,723.23 = 1,702.20/x
  3. Step 3: Cross multiply
    2,697.59x = 3,723.23 × 1,702.20
  4. Step 4: Simplify right side
    2,697.59x = 6,337,682.11
  5. Step 5: Solve for x
    x = 6,337,682.11/2,697.59
  6. Step 6: Final answer
    x = 2,349.39

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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.