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Finding the Fourth Proportional to 2,445.97, 3,666.17 and 984.19

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Solution

The fourth proportional to 2,445.97, 3,666.17 and 984.19 is: 1,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.97 : 3,666.17 = 984.19 : x
  2. Step 2: Convert to fraction form
    2,445.97/3,666.17 = 984.19/x
  3. Step 3: Cross multiply
    2,445.97x = 3,666.17 × 984.19
  4. Step 4: Simplify right side
    2,445.97x = 3,608,202.93
  5. Step 5: Solve for x
    x = 3,608,202.93/2,445.97
  6. Step 6: Final answer
    x = 1,475.16

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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.