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Finding the Fourth Proportional to 2,433.29, 3,647.63 and 788.68

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Solution

The fourth proportional to 2,433.29, 3,647.63 and 788.68 is: 1,182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.29 : 3,647.63 = 788.68 : x
  2. Step 2: Convert to fraction form
    2,433.29/3,647.63 = 788.68/x
  3. Step 3: Cross multiply
    2,433.29x = 3,647.63 × 788.68
  4. Step 4: Simplify right side
    2,433.29x = 2,876,820.96
  5. Step 5: Solve for x
    x = 2,876,820.96/2,433.29
  6. Step 6: Final answer
    x = 1,182.28

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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.