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Finding the Fourth Proportional to 1,454.15, 2,180.32 and 632.81

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Solution

The fourth proportional to 1,454.15, 2,180.32 and 632.81 is: 948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.15 : 2,180.32 = 632.81 : x
  2. Step 2: Convert to fraction form
    1,454.15/2,180.32 = 632.81/x
  3. Step 3: Cross multiply
    1,454.15x = 2,180.32 × 632.81
  4. Step 4: Simplify right side
    1,454.15x = 1,379,732.17
  5. Step 5: Solve for x
    x = 1,379,732.17/1,454.15
  6. Step 6: Final answer
    x = 948.82

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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.