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Finding the Fourth Proportional to 2,938.79, 4,408.49 and 991.15

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Solution

The fourth proportional to 2,938.79, 4,408.49 and 991.15 is: 1,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.79 : 4,408.49 = 991.15 : x
  2. Step 2: Convert to fraction form
    2,938.79/4,408.49 = 991.15/x
  3. Step 3: Cross multiply
    2,938.79x = 4,408.49 × 991.15
  4. Step 4: Simplify right side
    2,938.79x = 4,369,466.32
  5. Step 5: Solve for x
    x = 4,369,466.32/2,938.79
  6. Step 6: Final answer
    x = 1,486.82

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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.