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Finding the Fourth Proportional to 1,917.81, 2,876.10 and 618.97

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Solution

The fourth proportional to 1,917.81, 2,876.10 and 618.97 is: 928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.81 : 2,876.10 = 618.97 : x
  2. Step 2: Convert to fraction form
    1,917.81/2,876.10 = 618.97/x
  3. Step 3: Cross multiply
    1,917.81x = 2,876.10 × 618.97
  4. Step 4: Simplify right side
    1,917.81x = 1,780,219.62
  5. Step 5: Solve for x
    x = 1,780,219.62/1,917.81
  6. Step 6: Final answer
    x = 928.26

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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.