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Finding the Fourth Proportional to 1,432.86, 2,149.28 and 948.08

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Solution

The fourth proportional to 1,432.86, 2,149.28 and 948.08 is: 1,422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.86 : 2,149.28 = 948.08 : x
  2. Step 2: Convert to fraction form
    1,432.86/2,149.28 = 948.08/x
  3. Step 3: Cross multiply
    1,432.86x = 2,149.28 × 948.08
  4. Step 4: Simplify right side
    1,432.86x = 2,037,689.38
  5. Step 5: Solve for x
    x = 2,037,689.38/1,432.86
  6. Step 6: Final answer
    x = 1,422.11

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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.