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Finding the Fourth Proportional to 2,077.39, 3,116.09 and 616.55

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Solution

The fourth proportional to 2,077.39, 3,116.09 and 616.55 is: 924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.39 : 3,116.09 = 616.55 : x
  2. Step 2: Convert to fraction form
    2,077.39/3,116.09 = 616.55/x
  3. Step 3: Cross multiply
    2,077.39x = 3,116.09 × 616.55
  4. Step 4: Simplify right side
    2,077.39x = 1,921,225.29
  5. Step 5: Solve for x
    x = 1,921,225.29/2,077.39
  6. Step 6: Final answer
    x = 924.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.