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Finding the Fourth Proportional to 2,433.44, 3,646.92 and 1,781.12

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Solution

The fourth proportional to 2,433.44, 3,646.92 and 1,781.12 is: 2,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.44 : 3,646.92 = 1,781.12 : x
  2. Step 2: Convert to fraction form
    2,433.44/3,646.92 = 1,781.12/x
  3. Step 3: Cross multiply
    2,433.44x = 3,646.92 × 1,781.12
  4. Step 4: Simplify right side
    2,433.44x = 6,495,602.15
  5. Step 5: Solve for x
    x = 6,495,602.15/2,433.44
  6. Step 6: Final answer
    x = 2,669.31

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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.