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Finding the Fourth Proportional to 2,042.02, 3,061.96 and 654.96

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Solution

The fourth proportional to 2,042.02, 3,061.96 and 654.96 is: 982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.02 : 3,061.96 = 654.96 : x
  2. Step 2: Convert to fraction form
    2,042.02/3,061.96 = 654.96/x
  3. Step 3: Cross multiply
    2,042.02x = 3,061.96 × 654.96
  4. Step 4: Simplify right side
    2,042.02x = 2,005,461.32
  5. Step 5: Solve for x
    x = 2,005,461.32/2,042.02
  6. Step 6: Final answer
    x = 982.10

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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.