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Finding the Fourth Proportional to 2,077.45, 3,116.21 and 616.61

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Solution

The fourth proportional to 2,077.45, 3,116.21 and 616.61 is: 924.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.45 : 3,116.21 = 616.61 : x
  2. Step 2: Convert to fraction form
    2,077.45/3,116.21 = 616.61/x
  3. Step 3: Cross multiply
    2,077.45x = 3,116.21 × 616.61
  4. Step 4: Simplify right side
    2,077.45x = 1,921,490.96
  5. Step 5: Solve for x
    x = 1,921,490.96/2,077.45
  6. Step 6: Final answer
    x = 924.93

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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.