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Finding the Fourth Proportional to 2,432.72, 3,648.30 and 788.93

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Solution

The fourth proportional to 2,432.72, 3,648.30 and 788.93 is: 1,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.72 : 3,648.30 = 788.93 : x
  2. Step 2: Convert to fraction form
    2,432.72/3,648.30 = 788.93/x
  3. Step 3: Cross multiply
    2,432.72x = 3,648.30 × 788.93
  4. Step 4: Simplify right side
    2,432.72x = 2,878,253.32
  5. Step 5: Solve for x
    x = 2,878,253.32/2,432.72
  6. Step 6: Final answer
    x = 1,183.14

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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.