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Finding the Fourth Proportional to 2,432.19, 3,648.39 and 788.76

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Solution

The fourth proportional to 2,432.19, 3,648.39 and 788.76 is: 1,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.19 : 3,648.39 = 788.76 : x
  2. Step 2: Convert to fraction form
    2,432.19/3,648.39 = 788.76/x
  3. Step 3: Cross multiply
    2,432.19x = 3,648.39 × 788.76
  4. Step 4: Simplify right side
    2,432.19x = 2,877,704.10
  5. Step 5: Solve for x
    x = 2,877,704.10/2,432.19
  6. Step 6: Final answer
    x = 1,183.17

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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.