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Finding the Fourth Proportional to 2,549.58, 3,824.01 and 1,250.70

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Solution

The fourth proportional to 2,549.58, 3,824.01 and 1,250.70 is: 1,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.58 : 3,824.01 = 1,250.70 : x
  2. Step 2: Convert to fraction form
    2,549.58/3,824.01 = 1,250.70/x
  3. Step 3: Cross multiply
    2,549.58x = 3,824.01 × 1,250.70
  4. Step 4: Simplify right side
    2,549.58x = 4,782,689.31
  5. Step 5: Solve for x
    x = 4,782,689.31/2,549.58
  6. Step 6: Final answer
    x = 1,875.87

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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.