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Finding the Fourth Proportional to 2,077.72, 3,116.59 and 616.88

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Solution

The fourth proportional to 2,077.72, 3,116.59 and 616.88 is: 925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.72 : 3,116.59 = 616.88 : x
  2. Step 2: Convert to fraction form
    2,077.72/3,116.59 = 616.88/x
  3. Step 3: Cross multiply
    2,077.72x = 3,116.59 × 616.88
  4. Step 4: Simplify right side
    2,077.72x = 1,922,558.95
  5. Step 5: Solve for x
    x = 1,922,558.95/2,077.72
  6. Step 6: Final answer
    x = 925.32

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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.