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Finding the Fourth Proportional to 2,248.96, 3,374.72 and 1,095.68

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Solution

The fourth proportional to 2,248.96, 3,374.72 and 1,095.68 is: 1,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.96 : 3,374.72 = 1,095.68 : x
  2. Step 2: Convert to fraction form
    2,248.96/3,374.72 = 1,095.68/x
  3. Step 3: Cross multiply
    2,248.96x = 3,374.72 × 1,095.68
  4. Step 4: Simplify right side
    2,248.96x = 3,697,613.21
  5. Step 5: Solve for x
    x = 3,697,613.21/2,248.96
  6. Step 6: Final answer
    x = 1,644.14

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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.