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Finding the Fourth Proportional to 2,077.44, 3,116.16 and 616.80

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Solution

The fourth proportional to 2,077.44, 3,116.16 and 616.80 is: 925.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.44 : 3,116.16 = 616.80 : x
  2. Step 2: Convert to fraction form
    2,077.44/3,116.16 = 616.80/x
  3. Step 3: Cross multiply
    2,077.44x = 3,116.16 × 616.80
  4. Step 4: Simplify right side
    2,077.44x = 1,922,047.49
  5. Step 5: Solve for x
    x = 1,922,047.49/2,077.44
  6. Step 6: Final answer
    x = 925.20

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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.