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Finding the Fourth Proportional to 2,312.92, 3,470.28 and 1,013.47

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Solution

The fourth proportional to 2,312.92, 3,470.28 and 1,013.47 is: 1,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.92 : 3,470.28 = 1,013.47 : x
  2. Step 2: Convert to fraction form
    2,312.92/3,470.28 = 1,013.47/x
  3. Step 3: Cross multiply
    2,312.92x = 3,470.28 × 1,013.47
  4. Step 4: Simplify right side
    2,312.92x = 3,517,024.67
  5. Step 5: Solve for x
    x = 3,517,024.67/2,312.92
  6. Step 6: Final answer
    x = 1,520.60

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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.