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Finding the Fourth Proportional to 2,712.92, 4,070.46 and 981.68

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Solution

The fourth proportional to 2,712.92, 4,070.46 and 981.68 is: 1,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.92 : 4,070.46 = 981.68 : x
  2. Step 2: Convert to fraction form
    2,712.92/4,070.46 = 981.68/x
  3. Step 3: Cross multiply
    2,712.92x = 4,070.46 × 981.68
  4. Step 4: Simplify right side
    2,712.92x = 3,995,889.17
  5. Step 5: Solve for x
    x = 3,995,889.17/2,712.92
  6. Step 6: Final answer
    x = 1,472.91

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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.