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Finding the Fourth Proportional to 1,632.74, 2,443.01 and 972.20

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Solution

The fourth proportional to 1,632.74, 2,443.01 and 972.20 is: 1,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.74 : 2,443.01 = 972.20 : x
  2. Step 2: Convert to fraction form
    1,632.74/2,443.01 = 972.20/x
  3. Step 3: Cross multiply
    1,632.74x = 2,443.01 × 972.20
  4. Step 4: Simplify right side
    1,632.74x = 2,375,077.25
  5. Step 5: Solve for x
    x = 2,375,077.25/1,632.74
  6. Step 6: Final answer
    x = 1,454.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.