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Finding the Fourth Proportional to 2,432.05, 3,647.31 and 788.29

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Solution

The fourth proportional to 2,432.05, 3,647.31 and 788.29 is: 1,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.05 : 3,647.31 = 788.29 : x
  2. Step 2: Convert to fraction form
    2,432.05/3,647.31 = 788.29/x
  3. Step 3: Cross multiply
    2,432.05x = 3,647.31 × 788.29
  4. Step 4: Simplify right side
    2,432.05x = 2,875,138.00
  5. Step 5: Solve for x
    x = 2,875,138.00/2,432.05
  6. Step 6: Final answer
    x = 1,182.19

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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.