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Finding the Fourth Proportional to 2,248.91, 3,100.28 and 1,583.70

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Solution

The fourth proportional to 2,248.91, 3,100.28 and 1,583.70 is: 2,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.91 : 3,100.28 = 1,583.70 : x
  2. Step 2: Convert to fraction form
    2,248.91/3,100.28 = 1,583.70/x
  3. Step 3: Cross multiply
    2,248.91x = 3,100.28 × 1,583.70
  4. Step 4: Simplify right side
    2,248.91x = 4,909,913.44
  5. Step 5: Solve for x
    x = 4,909,913.44/2,248.91
  6. Step 6: Final answer
    x = 2,183.24

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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.