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Finding the Fourth Proportional to 2,774.40, 4,139.87 and 2,758.20

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Solution

The fourth proportional to 2,774.40, 4,139.87 and 2,758.20 is: 4,115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.40 : 4,139.87 = 2,758.20 : x
  2. Step 2: Convert to fraction form
    2,774.40/4,139.87 = 2,758.20/x
  3. Step 3: Cross multiply
    2,774.40x = 4,139.87 × 2,758.20
  4. Step 4: Simplify right side
    2,774.40x = 11,418,575.64
  5. Step 5: Solve for x
    x = 11,418,575.64/2,774.40
  6. Step 6: Final answer
    x = 4,115.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.