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Finding the Fourth Proportional to 2,042.30, 3,061.94 and 654.84

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Solution

The fourth proportional to 2,042.30, 3,061.94 and 654.84 is: 981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.30 : 3,061.94 = 654.84 : x
  2. Step 2: Convert to fraction form
    2,042.30/3,061.94 = 654.84/x
  3. Step 3: Cross multiply
    2,042.30x = 3,061.94 × 654.84
  4. Step 4: Simplify right side
    2,042.30x = 2,005,080.79
  5. Step 5: Solve for x
    x = 2,005,080.79/2,042.30
  6. Step 6: Final answer
    x = 981.78

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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.