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Finding the Fourth Proportional to 2,893.22, 4,338.18 and 918.47

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Solution

The fourth proportional to 2,893.22, 4,338.18 and 918.47 is: 1,377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.22 : 4,338.18 = 918.47 : x
  2. Step 2: Convert to fraction form
    2,893.22/4,338.18 = 918.47/x
  3. Step 3: Cross multiply
    2,893.22x = 4,338.18 × 918.47
  4. Step 4: Simplify right side
    2,893.22x = 3,984,488.18
  5. Step 5: Solve for x
    x = 3,984,488.18/2,893.22
  6. Step 6: Final answer
    x = 1,377.18

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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.