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Finding the Fourth Proportional to 2,938.65, 4,408.68 and 858.66

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Solution

The fourth proportional to 2,938.65, 4,408.68 and 858.66 is: 1,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.65 : 4,408.68 = 858.66 : x
  2. Step 2: Convert to fraction form
    2,938.65/4,408.68 = 858.66/x
  3. Step 3: Cross multiply
    2,938.65x = 4,408.68 × 858.66
  4. Step 4: Simplify right side
    2,938.65x = 3,785,557.17
  5. Step 5: Solve for x
    x = 3,785,557.17/2,938.65
  6. Step 6: Final answer
    x = 1,288.20

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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.