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Finding the Fourth Proportional to 3,109.23, 4,663.89 and 918.18

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Solution

The fourth proportional to 3,109.23, 4,663.89 and 918.18 is: 1,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.23 : 4,663.89 = 918.18 : x
  2. Step 2: Convert to fraction form
    3,109.23/4,663.89 = 918.18/x
  3. Step 3: Cross multiply
    3,109.23x = 4,663.89 × 918.18
  4. Step 4: Simplify right side
    3,109.23x = 4,282,290.52
  5. Step 5: Solve for x
    x = 4,282,290.52/3,109.23
  6. Step 6: Final answer
    x = 1,377.28

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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.