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Finding the Fourth Proportional to 2,432.10, 3,648.75 and 788.73

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Solution

The fourth proportional to 2,432.10, 3,648.75 and 788.73 is: 1,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.10 : 3,648.75 = 788.73 : x
  2. Step 2: Convert to fraction form
    2,432.10/3,648.75 = 788.73/x
  3. Step 3: Cross multiply
    2,432.10x = 3,648.75 × 788.73
  4. Step 4: Simplify right side
    2,432.10x = 2,877,878.59
  5. Step 5: Solve for x
    x = 2,877,878.59/2,432.10
  6. Step 6: Final answer
    x = 1,183.29

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