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Finding the Fourth Proportional to 2,214.32, 3,320.34 and 654.13

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Solution

The fourth proportional to 2,214.32, 3,320.34 and 654.13 is: 980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.32 : 3,320.34 = 654.13 : x
  2. Step 2: Convert to fraction form
    2,214.32/3,320.34 = 654.13/x
  3. Step 3: Cross multiply
    2,214.32x = 3,320.34 × 654.13
  4. Step 4: Simplify right side
    2,214.32x = 2,171,925.70
  5. Step 5: Solve for x
    x = 2,171,925.70/2,214.32
  6. Step 6: Final answer
    x = 980.85

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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.