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Finding the Fourth Proportional to 2,558.76, 3,531.26 and 1,439.78

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Solution

The fourth proportional to 2,558.76, 3,531.26 and 1,439.78 is: 1,986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.76 : 3,531.26 = 1,439.78 : x
  2. Step 2: Convert to fraction form
    2,558.76/3,531.26 = 1,439.78/x
  3. Step 3: Cross multiply
    2,558.76x = 3,531.26 × 1,439.78
  4. Step 4: Simplify right side
    2,558.76x = 5,084,223.47
  5. Step 5: Solve for x
    x = 5,084,223.47/2,558.76
  6. Step 6: Final answer
    x = 1,986.99

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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.