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Finding the Fourth Proportional to 2,042.15, 3,060.81 and 987.30

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Solution

The fourth proportional to 2,042.15, 3,060.81 and 987.30 is: 1,479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.15 : 3,060.81 = 987.30 : x
  2. Step 2: Convert to fraction form
    2,042.15/3,060.81 = 987.30/x
  3. Step 3: Cross multiply
    2,042.15x = 3,060.81 × 987.30
  4. Step 4: Simplify right side
    2,042.15x = 3,021,937.71
  5. Step 5: Solve for x
    x = 3,021,937.71/2,042.15
  6. Step 6: Final answer
    x = 1,479.79

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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.