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Finding the Fourth Proportional to 3,105.48, 4,658.50 and 997.40

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Solution

The fourth proportional to 3,105.48, 4,658.50 and 997.40 is: 1,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.48 : 4,658.50 = 997.40 : x
  2. Step 2: Convert to fraction form
    3,105.48/4,658.50 = 997.40/x
  3. Step 3: Cross multiply
    3,105.48x = 4,658.50 × 997.40
  4. Step 4: Simplify right side
    3,105.48x = 4,646,387.90
  5. Step 5: Solve for x
    x = 4,646,387.90/3,105.48
  6. Step 6: Final answer
    x = 1,496.19

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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.