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Finding the Fourth Proportional to 2,432.30, 3,647.66 and 788.46

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Solution

The fourth proportional to 2,432.30, 3,647.66 and 788.46 is: 1,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.30 : 3,647.66 = 788.46 : x
  2. Step 2: Convert to fraction form
    2,432.30/3,647.66 = 788.46/x
  3. Step 3: Cross multiply
    2,432.30x = 3,647.66 × 788.46
  4. Step 4: Simplify right side
    2,432.30x = 2,876,034.00
  5. Step 5: Solve for x
    x = 2,876,034.00/2,432.30
  6. Step 6: Final answer
    x = 1,182.43

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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.