Home / 1,432.24-2,145.42-702.52

Finding the Fourth Proportional to 1,432.24, 2,145.42 and 702.52

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Solution

The fourth proportional to 1,432.24, 2,145.42 and 702.52 is: 1,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.24 : 2,145.42 = 702.52 : x
  2. Step 2: Convert to fraction form
    1,432.24/2,145.42 = 702.52/x
  3. Step 3: Cross multiply
    1,432.24x = 2,145.42 × 702.52
  4. Step 4: Simplify right side
    1,432.24x = 1,507,200.46
  5. Step 5: Solve for x
    x = 1,507,200.46/1,432.24
  6. Step 6: Final answer
    x = 1,052.34

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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.