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Finding the Fourth Proportional to 2,697.70, 3,721.52 and 1,753.66

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Solution

The fourth proportional to 2,697.70, 3,721.52 and 1,753.66 is: 2,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.70 : 3,721.52 = 1,753.66 : x
  2. Step 2: Convert to fraction form
    2,697.70/3,721.52 = 1,753.66/x
  3. Step 3: Cross multiply
    2,697.70x = 3,721.52 × 1,753.66
  4. Step 4: Simplify right side
    2,697.70x = 6,526,280.76
  5. Step 5: Solve for x
    x = 6,526,280.76/2,697.70
  6. Step 6: Final answer
    x = 2,419.20

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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.