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Finding the Fourth Proportional to 2,472.06, 3,708.11 and 740.69

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Solution

The fourth proportional to 2,472.06, 3,708.11 and 740.69 is: 1,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.06 : 3,708.11 = 740.69 : x
  2. Step 2: Convert to fraction form
    2,472.06/3,708.11 = 740.69/x
  3. Step 3: Cross multiply
    2,472.06x = 3,708.11 × 740.69
  4. Step 4: Simplify right side
    2,472.06x = 2,746,560.00
  5. Step 5: Solve for x
    x = 2,746,560.00/2,472.06
  6. Step 6: Final answer
    x = 1,111.04

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Why These Related Problems?

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