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Finding the Fourth Proportional to 2,569.80, 3,544.26 and 1,861.74

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Solution

The fourth proportional to 2,569.80, 3,544.26 and 1,861.74 is: 2,567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.80 : 3,544.26 = 1,861.74 : x
  2. Step 2: Convert to fraction form
    2,569.80/3,544.26 = 1,861.74/x
  3. Step 3: Cross multiply
    2,569.80x = 3,544.26 × 1,861.74
  4. Step 4: Simplify right side
    2,569.80x = 6,598,490.61
  5. Step 5: Solve for x
    x = 6,598,490.61/2,569.80
  6. Step 6: Final answer
    x = 2,567.71

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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.