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Finding the Fourth Proportional to 2,712.00, 3,742.13 and 1,532.91

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Solution

The fourth proportional to 2,712.00, 3,742.13 and 1,532.91 is: 2,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.00 : 3,742.13 = 1,532.91 : x
  2. Step 2: Convert to fraction form
    2,712.00/3,742.13 = 1,532.91/x
  3. Step 3: Cross multiply
    2,712.00x = 3,742.13 × 1,532.91
  4. Step 4: Simplify right side
    2,712.00x = 5,736,350.19
  5. Step 5: Solve for x
    x = 5,736,350.19/2,712.00
  6. Step 6: Final answer
    x = 2,115.17

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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.