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Finding the Fourth Proportional to 2,758.20, 4,127.17 and 2,029.20

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Solution

The fourth proportional to 2,758.20, 4,127.17 and 2,029.20 is: 3,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.20 : 4,127.17 = 2,029.20 : x
  2. Step 2: Convert to fraction form
    2,758.20/4,127.17 = 2,029.20/x
  3. Step 3: Cross multiply
    2,758.20x = 4,127.17 × 2,029.20
  4. Step 4: Simplify right side
    2,758.20x = 8,374,853.36
  5. Step 5: Solve for x
    x = 8,374,853.36/2,758.20
  6. Step 6: Final answer
    x = 3,036.35

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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.