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Finding the Fourth Proportional to 2,074.68, 2,863.26 and 1,549.80

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Solution

The fourth proportional to 2,074.68, 2,863.26 and 1,549.80 is: 2,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.68 : 2,863.26 = 1,549.80 : x
  2. Step 2: Convert to fraction form
    2,074.68/2,863.26 = 1,549.80/x
  3. Step 3: Cross multiply
    2,074.68x = 2,863.26 × 1,549.80
  4. Step 4: Simplify right side
    2,074.68x = 4,437,480.35
  5. Step 5: Solve for x
    x = 4,437,480.35/2,074.68
  6. Step 6: Final answer
    x = 2,138.87

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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.