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Finding the Fourth Proportional to 2,432.40, 3,648.67 and 951.56

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Solution

The fourth proportional to 2,432.40, 3,648.67 and 951.56 is: 1,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.40 : 3,648.67 = 951.56 : x
  2. Step 2: Convert to fraction form
    2,432.40/3,648.67 = 951.56/x
  3. Step 3: Cross multiply
    2,432.40x = 3,648.67 × 951.56
  4. Step 4: Simplify right side
    2,432.40x = 3,471,916.92
  5. Step 5: Solve for x
    x = 3,471,916.92/2,432.40
  6. Step 6: Final answer
    x = 1,427.37

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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.