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Finding the Fourth Proportional to 2,214.59, 3,321.10 and 654.18

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Solution

The fourth proportional to 2,214.59, 3,321.10 and 654.18 is: 981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.59 : 3,321.10 = 654.18 : x
  2. Step 2: Convert to fraction form
    2,214.59/3,321.10 = 654.18/x
  3. Step 3: Cross multiply
    2,214.59x = 3,321.10 × 654.18
  4. Step 4: Simplify right side
    2,214.59x = 2,172,597.20
  5. Step 5: Solve for x
    x = 2,172,597.20/2,214.59
  6. Step 6: Final answer
    x = 981.04

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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.