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Finding the Fourth Proportional to 2,041.46, 3,062.12 and 654.78

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Solution

The fourth proportional to 2,041.46, 3,062.12 and 654.78 is: 982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.46 : 3,062.12 = 654.78 : x
  2. Step 2: Convert to fraction form
    2,041.46/3,062.12 = 654.78/x
  3. Step 3: Cross multiply
    2,041.46x = 3,062.12 × 654.78
  4. Step 4: Simplify right side
    2,041.46x = 2,005,016.57
  5. Step 5: Solve for x
    x = 2,005,016.57/2,041.46
  6. Step 6: Final answer
    x = 982.15

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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.