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Finding the Fourth Proportional to 1,454.81, 2,182.28 and 962.19

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Solution

The fourth proportional to 1,454.81, 2,182.28 and 962.19 is: 1,443.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.81 : 2,182.28 = 962.19 : x
  2. Step 2: Convert to fraction form
    1,454.81/2,182.28 = 962.19/x
  3. Step 3: Cross multiply
    1,454.81x = 2,182.28 × 962.19
  4. Step 4: Simplify right side
    1,454.81x = 2,099,763.18
  5. Step 5: Solve for x
    x = 2,099,763.18/1,454.81
  6. Step 6: Final answer
    x = 1,443.33

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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.