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Finding the Fourth Proportional to 2,833.91, 4,251.51 and 1,102.53

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Solution

The fourth proportional to 2,833.91, 4,251.51 and 1,102.53 is: 1,654.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.91 : 4,251.51 = 1,102.53 : x
  2. Step 2: Convert to fraction form
    2,833.91/4,251.51 = 1,102.53/x
  3. Step 3: Cross multiply
    2,833.91x = 4,251.51 × 1,102.53
  4. Step 4: Simplify right side
    2,833.91x = 4,687,417.32
  5. Step 5: Solve for x
    x = 4,687,417.32/2,833.91
  6. Step 6: Final answer
    x = 1,654.05

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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.