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Finding the Fourth Proportional to 2,487.82, 3,731.27 and 1,006.96

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Solution

The fourth proportional to 2,487.82, 3,731.27 and 1,006.96 is: 1,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.82 : 3,731.27 = 1,006.96 : x
  2. Step 2: Convert to fraction form
    2,487.82/3,731.27 = 1,006.96/x
  3. Step 3: Cross multiply
    2,487.82x = 3,731.27 × 1,006.96
  4. Step 4: Simplify right side
    2,487.82x = 3,757,239.64
  5. Step 5: Solve for x
    x = 3,757,239.64/2,487.82
  6. Step 6: Final answer
    x = 1,510.25

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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.