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Finding the Fourth Proportional to 1,432.70, 2,150.40 and 885.95

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Solution

The fourth proportional to 1,432.70, 2,150.40 and 885.95 is: 1,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.70 : 2,150.40 = 885.95 : x
  2. Step 2: Convert to fraction form
    1,432.70/2,150.40 = 885.95/x
  3. Step 3: Cross multiply
    1,432.70x = 2,150.40 × 885.95
  4. Step 4: Simplify right side
    1,432.70x = 1,905,146.88
  5. Step 5: Solve for x
    x = 1,905,146.88/1,432.70
  6. Step 6: Final answer
    x = 1,329.76

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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.