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Finding the Fourth Proportional to 1,432.11, 2,147.57 and 970.01

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Solution

The fourth proportional to 1,432.11, 2,147.57 and 970.01 is: 1,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.11 : 2,147.57 = 970.01 : x
  2. Step 2: Convert to fraction form
    1,432.11/2,147.57 = 970.01/x
  3. Step 3: Cross multiply
    1,432.11x = 2,147.57 × 970.01
  4. Step 4: Simplify right side
    1,432.11x = 2,083,164.38
  5. Step 5: Solve for x
    x = 2,083,164.38/1,432.11
  6. Step 6: Final answer
    x = 1,454.61

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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.