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Finding the Fourth Proportional to 1,602.92, 2,404.15 and 986.31

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Solution

The fourth proportional to 1,602.92, 2,404.15 and 986.31 is: 1,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.92 : 2,404.15 = 986.31 : x
  2. Step 2: Convert to fraction form
    1,602.92/2,404.15 = 986.31/x
  3. Step 3: Cross multiply
    1,602.92x = 2,404.15 × 986.31
  4. Step 4: Simplify right side
    1,602.92x = 2,371,234.72
  5. Step 5: Solve for x
    x = 2,371,234.72/1,602.92
  6. Step 6: Final answer
    x = 1,479.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.