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Finding the Fourth Proportional to 2,703.71, 3,731.11 and 1,524.79

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Solution

The fourth proportional to 2,703.71, 3,731.11 and 1,524.79 is: 2,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.71 : 3,731.11 = 1,524.79 : x
  2. Step 2: Convert to fraction form
    2,703.71/3,731.11 = 1,524.79/x
  3. Step 3: Cross multiply
    2,703.71x = 3,731.11 × 1,524.79
  4. Step 4: Simplify right side
    2,703.71x = 5,689,151.59
  5. Step 5: Solve for x
    x = 5,689,151.59/2,703.71
  6. Step 6: Final answer
    x = 2,104.20

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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.