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Finding the Fourth Proportional to 2,248.26, 3,102.53 and 1,409.42

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Solution

The fourth proportional to 2,248.26, 3,102.53 and 1,409.42 is: 1,944.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.26 : 3,102.53 = 1,409.42 : x
  2. Step 2: Convert to fraction form
    2,248.26/3,102.53 = 1,409.42/x
  3. Step 3: Cross multiply
    2,248.26x = 3,102.53 × 1,409.42
  4. Step 4: Simplify right side
    2,248.26x = 4,372,767.83
  5. Step 5: Solve for x
    x = 4,372,767.83/2,248.26
  6. Step 6: Final answer
    x = 1,944.96

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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.