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Finding the Fourth Proportional to 2,077.40, 3,116.61 and 616.56

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Solution

The fourth proportional to 2,077.40, 3,116.61 and 616.56 is: 924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.40 : 3,116.61 = 616.56 : x
  2. Step 2: Convert to fraction form
    2,077.40/3,116.61 = 616.56/x
  3. Step 3: Cross multiply
    2,077.40x = 3,116.61 × 616.56
  4. Step 4: Simplify right side
    2,077.40x = 1,921,577.06
  5. Step 5: Solve for x
    x = 1,921,577.06/2,077.40
  6. Step 6: Final answer
    x = 924.99

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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.