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Finding the Fourth Proportional to 2,476.52, 3,711.12 and 1,013.96

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Solution

The fourth proportional to 2,476.52, 3,711.12 and 1,013.96 is: 1,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.52 : 3,711.12 = 1,013.96 : x
  2. Step 2: Convert to fraction form
    2,476.52/3,711.12 = 1,013.96/x
  3. Step 3: Cross multiply
    2,476.52x = 3,711.12 × 1,013.96
  4. Step 4: Simplify right side
    2,476.52x = 3,762,927.24
  5. Step 5: Solve for x
    x = 3,762,927.24/2,476.52
  6. Step 6: Final answer
    x = 1,519.44

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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.