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Finding the Fourth Proportional to 2,673.24, 4,010.61 and 918.47

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Solution

The fourth proportional to 2,673.24, 4,010.61 and 918.47 is: 1,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.24 : 4,010.61 = 918.47 : x
  2. Step 2: Convert to fraction form
    2,673.24/4,010.61 = 918.47/x
  3. Step 3: Cross multiply
    2,673.24x = 4,010.61 × 918.47
  4. Step 4: Simplify right side
    2,673.24x = 3,683,604.91
  5. Step 5: Solve for x
    x = 3,683,604.91/2,673.24
  6. Step 6: Final answer
    x = 1,377.96

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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.