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Finding the Fourth Proportional to 3,173.92, 4,381.50 and 2,126.68

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Solution

The fourth proportional to 3,173.92, 4,381.50 and 2,126.68 is: 2,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.92 : 4,381.50 = 2,126.68 : x
  2. Step 2: Convert to fraction form
    3,173.92/4,381.50 = 2,126.68/x
  3. Step 3: Cross multiply
    3,173.92x = 4,381.50 × 2,126.68
  4. Step 4: Simplify right side
    3,173.92x = 9,318,048.42
  5. Step 5: Solve for x
    x = 9,318,048.42/3,173.92
  6. Step 6: Final answer
    x = 2,935.82

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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.