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Finding the Fourth Proportional to 2,432.41, 3,648.62 and 788.92

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Solution

The fourth proportional to 2,432.41, 3,648.62 and 788.92 is: 1,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.41 : 3,648.62 = 788.92 : x
  2. Step 2: Convert to fraction form
    2,432.41/3,648.62 = 788.92/x
  3. Step 3: Cross multiply
    2,432.41x = 3,648.62 × 788.92
  4. Step 4: Simplify right side
    2,432.41x = 2,878,447.10
  5. Step 5: Solve for x
    x = 2,878,447.10/2,432.41
  6. Step 6: Final answer
    x = 1,183.37

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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.