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Finding the Fourth Proportional to 2,078.10, 3,116.94 and 618.18

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Solution

The fourth proportional to 2,078.10, 3,116.94 and 618.18 is: 927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.10 : 3,116.94 = 618.18 : x
  2. Step 2: Convert to fraction form
    2,078.10/3,116.94 = 618.18/x
  3. Step 3: Cross multiply
    2,078.10x = 3,116.94 × 618.18
  4. Step 4: Simplify right side
    2,078.10x = 1,926,829.97
  5. Step 5: Solve for x
    x = 1,926,829.97/2,078.10
  6. Step 6: Final answer
    x = 927.21

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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.