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Finding the Fourth Proportional to 2,077.05, 3,116.18 and 616.23

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Solution

The fourth proportional to 2,077.05, 3,116.18 and 616.23 is: 924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.05 : 3,116.18 = 616.23 : x
  2. Step 2: Convert to fraction form
    2,077.05/3,116.18 = 616.23/x
  3. Step 3: Cross multiply
    2,077.05x = 3,116.18 × 616.23
  4. Step 4: Simplify right side
    2,077.05x = 1,920,280.52
  5. Step 5: Solve for x
    x = 1,920,280.52/2,077.05
  6. Step 6: Final answer
    x = 924.52

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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.