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Finding the Fourth Proportional to 2,432.01, 3,648.42 and 971.19

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Solution

The fourth proportional to 2,432.01, 3,648.42 and 971.19 is: 1,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.01 : 3,648.42 = 971.19 : x
  2. Step 2: Convert to fraction form
    2,432.01/3,648.42 = 971.19/x
  3. Step 3: Cross multiply
    2,432.01x = 3,648.42 × 971.19
  4. Step 4: Simplify right side
    2,432.01x = 3,543,309.02
  5. Step 5: Solve for x
    x = 3,543,309.02/2,432.01
  6. Step 6: Final answer
    x = 1,456.95

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1.5x scale

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.