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Finding the Fourth Proportional to 2,711.04, 3,741.24 and 1,532.12

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Solution

The fourth proportional to 2,711.04, 3,741.24 and 1,532.12 is: 2,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.04 : 3,741.24 = 1,532.12 : x
  2. Step 2: Convert to fraction form
    2,711.04/3,741.24 = 1,532.12/x
  3. Step 3: Cross multiply
    2,711.04x = 3,741.24 × 1,532.12
  4. Step 4: Simplify right side
    2,711.04x = 5,732,009.92
  5. Step 5: Solve for x
    x = 5,732,009.92/2,711.04
  6. Step 6: Final answer
    x = 2,114.32

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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.