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Finding the Fourth Proportional to 1,454.42, 2,180.12 and 632.27

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Solution

The fourth proportional to 1,454.42, 2,180.12 and 632.27 is: 947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.42 : 2,180.12 = 632.27 : x
  2. Step 2: Convert to fraction form
    1,454.42/2,180.12 = 632.27/x
  3. Step 3: Cross multiply
    1,454.42x = 2,180.12 × 632.27
  4. Step 4: Simplify right side
    1,454.42x = 1,378,426.76
  5. Step 5: Solve for x
    x = 1,378,426.76/1,454.42
  6. Step 6: Final answer
    x = 947.75

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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.