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Finding the Fourth Proportional to 2,116.56, 3,169.80 and 1,248.24

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Solution

The fourth proportional to 2,116.56, 3,169.80 and 1,248.24 is: 1,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.56 : 3,169.80 = 1,248.24 : x
  2. Step 2: Convert to fraction form
    2,116.56/3,169.80 = 1,248.24/x
  3. Step 3: Cross multiply
    2,116.56x = 3,169.80 × 1,248.24
  4. Step 4: Simplify right side
    2,116.56x = 3,956,671.15
  5. Step 5: Solve for x
    x = 3,956,671.15/2,116.56
  6. Step 6: Final answer
    x = 1,869.39

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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.