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Finding the Fourth Proportional to 2,432.13, 3,648.19 and 788.91

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Solution

The fourth proportional to 2,432.13, 3,648.19 and 788.91 is: 1,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.13 : 3,648.19 = 788.91 : x
  2. Step 2: Convert to fraction form
    2,432.13/3,648.19 = 788.91/x
  3. Step 3: Cross multiply
    2,432.13x = 3,648.19 × 788.91
  4. Step 4: Simplify right side
    2,432.13x = 2,878,110.18
  5. Step 5: Solve for x
    x = 2,878,110.18/2,432.13
  6. Step 6: Final answer
    x = 1,183.37

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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.