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Finding the Fourth Proportional to 2,753.70, 4,132.59 and 1,715.22

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Solution

The fourth proportional to 2,753.70, 4,132.59 and 1,715.22 is: 2,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.70 : 4,132.59 = 1,715.22 : x
  2. Step 2: Convert to fraction form
    2,753.70/4,132.59 = 1,715.22/x
  3. Step 3: Cross multiply
    2,753.70x = 4,132.59 × 1,715.22
  4. Step 4: Simplify right side
    2,753.70x = 7,088,301.02
  5. Step 5: Solve for x
    x = 7,088,301.02/2,753.70
  6. Step 6: Final answer
    x = 2,574.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.