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Finding the Fourth Proportional to 2,616.19, 3,926.08 and 1,077.19

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Solution

The fourth proportional to 2,616.19, 3,926.08 and 1,077.19 is: 1,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.19 : 3,926.08 = 1,077.19 : x
  2. Step 2: Convert to fraction form
    2,616.19/3,926.08 = 1,077.19/x
  3. Step 3: Cross multiply
    2,616.19x = 3,926.08 × 1,077.19
  4. Step 4: Simplify right side
    2,616.19x = 4,229,125.65
  5. Step 5: Solve for x
    x = 4,229,125.65/2,616.19
  6. Step 6: Final answer
    x = 1,616.52

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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.