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Finding the Fourth Proportional to 2,291.57, 3,436.80 and 1,057.79

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Solution

The fourth proportional to 2,291.57, 3,436.80 and 1,057.79 is: 1,586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.57 : 3,436.80 = 1,057.79 : x
  2. Step 2: Convert to fraction form
    2,291.57/3,436.80 = 1,057.79/x
  3. Step 3: Cross multiply
    2,291.57x = 3,436.80 × 1,057.79
  4. Step 4: Simplify right side
    2,291.57x = 3,635,412.28
  5. Step 5: Solve for x
    x = 3,635,412.28/2,291.57
  6. Step 6: Final answer
    x = 1,586.43

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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.