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Finding the Fourth Proportional to 2,874.48, 4,311.66 and 1,639.26

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Solution

The fourth proportional to 2,874.48, 4,311.66 and 1,639.26 is: 2,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.48 : 4,311.66 = 1,639.26 : x
  2. Step 2: Convert to fraction form
    2,874.48/4,311.66 = 1,639.26/x
  3. Step 3: Cross multiply
    2,874.48x = 4,311.66 × 1,639.26
  4. Step 4: Simplify right side
    2,874.48x = 7,067,931.77
  5. Step 5: Solve for x
    x = 7,067,931.77/2,874.48
  6. Step 6: Final answer
    x = 2,458.86

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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.