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Finding the Fourth Proportional to 2,832.86, 3,909.32 and 1,654.11

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Solution

The fourth proportional to 2,832.86, 3,909.32 and 1,654.11 is: 2,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.86 : 3,909.32 = 1,654.11 : x
  2. Step 2: Convert to fraction form
    2,832.86/3,909.32 = 1,654.11/x
  3. Step 3: Cross multiply
    2,832.86x = 3,909.32 × 1,654.11
  4. Step 4: Simplify right side
    2,832.86x = 6,466,445.31
  5. Step 5: Solve for x
    x = 6,466,445.31/2,832.86
  6. Step 6: Final answer
    x = 2,282.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.