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Finding the Fourth Proportional to 2,833.16, 3,909.84 and 1,654.34

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Solution

The fourth proportional to 2,833.16, 3,909.84 and 1,654.34 is: 2,283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.16 : 3,909.84 = 1,654.34 : x
  2. Step 2: Convert to fraction form
    2,833.16/3,909.84 = 1,654.34/x
  3. Step 3: Cross multiply
    2,833.16x = 3,909.84 × 1,654.34
  4. Step 4: Simplify right side
    2,833.16x = 6,468,204.71
  5. Step 5: Solve for x
    x = 6,468,204.71/2,833.16
  6. Step 6: Final answer
    x = 2,283.04

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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.