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Finding the Fourth Proportional to 2,426.67, 3,348.72 and 1,364.43

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Solution

The fourth proportional to 2,426.67, 3,348.72 and 1,364.43 is: 1,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.67 : 3,348.72 = 1,364.43 : x
  2. Step 2: Convert to fraction form
    2,426.67/3,348.72 = 1,364.43/x
  3. Step 3: Cross multiply
    2,426.67x = 3,348.72 × 1,364.43
  4. Step 4: Simplify right side
    2,426.67x = 4,569,094.03
  5. Step 5: Solve for x
    x = 4,569,094.03/2,426.67
  6. Step 6: Final answer
    x = 1,882.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.