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Finding the Fourth Proportional to 1,432.14, 2,147.93 and 651.92

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Solution

The fourth proportional to 1,432.14, 2,147.93 and 651.92 is: 977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.14 : 2,147.93 = 651.92 : x
  2. Step 2: Convert to fraction form
    1,432.14/2,147.93 = 651.92/x
  3. Step 3: Cross multiply
    1,432.14x = 2,147.93 × 651.92
  4. Step 4: Simplify right side
    1,432.14x = 1,400,286.01
  5. Step 5: Solve for x
    x = 1,400,286.01/1,432.14
  6. Step 6: Final answer
    x = 977.76

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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.