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Finding the Fourth Proportional to 2,432.46, 3,647.38 and 788.79

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Solution

The fourth proportional to 2,432.46, 3,647.38 and 788.79 is: 1,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.46 : 3,647.38 = 788.79 : x
  2. Step 2: Convert to fraction form
    2,432.46/3,647.38 = 788.79/x
  3. Step 3: Cross multiply
    2,432.46x = 3,647.38 × 788.79
  4. Step 4: Simplify right side
    2,432.46x = 2,877,016.87
  5. Step 5: Solve for x
    x = 2,877,016.87/2,432.46
  6. Step 6: Final answer
    x = 1,182.76

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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.