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Finding the Fourth Proportional to 2,710.92, 3,740.94 and 1,532.16

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Solution

The fourth proportional to 2,710.92, 3,740.94 and 1,532.16 is: 2,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.92 : 3,740.94 = 1,532.16 : x
  2. Step 2: Convert to fraction form
    2,710.92/3,740.94 = 1,532.16/x
  3. Step 3: Cross multiply
    2,710.92x = 3,740.94 × 1,532.16
  4. Step 4: Simplify right side
    2,710.92x = 5,731,718.63
  5. Step 5: Solve for x
    x = 5,731,718.63/2,710.92
  6. Step 6: Final answer
    x = 2,114.31

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