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Finding the Fourth Proportional to 2,077.69, 3,116.55 and 616.87

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Solution

The fourth proportional to 2,077.69, 3,116.55 and 616.87 is: 925.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.69 : 3,116.55 = 616.87 : x
  2. Step 2: Convert to fraction form
    2,077.69/3,116.55 = 616.87/x
  3. Step 3: Cross multiply
    2,077.69x = 3,116.55 × 616.87
  4. Step 4: Simplify right side
    2,077.69x = 1,922,506.20
  5. Step 5: Solve for x
    x = 1,922,506.20/2,077.69
  6. Step 6: Final answer
    x = 925.31

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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.