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Finding the Fourth Proportional to 2,432.36, 3,648.44 and 872.30

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Solution

The fourth proportional to 2,432.36, 3,648.44 and 872.30 is: 1,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.36 : 3,648.44 = 872.30 : x
  2. Step 2: Convert to fraction form
    2,432.36/3,648.44 = 872.30/x
  3. Step 3: Cross multiply
    2,432.36x = 3,648.44 × 872.30
  4. Step 4: Simplify right side
    2,432.36x = 3,182,534.21
  5. Step 5: Solve for x
    x = 3,182,534.21/2,432.36
  6. Step 6: Final answer
    x = 1,308.41

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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.