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Finding the Fourth Proportional to 2,078.88, 3,119.13 and 1,257.75

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Solution

The fourth proportional to 2,078.88, 3,119.13 and 1,257.75 is: 1,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.88 : 3,119.13 = 1,257.75 : x
  2. Step 2: Convert to fraction form
    2,078.88/3,119.13 = 1,257.75/x
  3. Step 3: Cross multiply
    2,078.88x = 3,119.13 × 1,257.75
  4. Step 4: Simplify right side
    2,078.88x = 3,923,085.76
  5. Step 5: Solve for x
    x = 3,923,085.76/2,078.88
  6. Step 6: Final answer
    x = 1,887.12

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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.