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Finding the Fourth Proportional to 2,381.68, 3,546.48 and 2,294.20

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Solution

The fourth proportional to 2,381.68, 3,546.48 and 2,294.20 is: 3,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.68 : 3,546.48 = 2,294.20 : x
  2. Step 2: Convert to fraction form
    2,381.68/3,546.48 = 2,294.20/x
  3. Step 3: Cross multiply
    2,381.68x = 3,546.48 × 2,294.20
  4. Step 4: Simplify right side
    2,381.68x = 8,136,334.42
  5. Step 5: Solve for x
    x = 8,136,334.42/2,381.68
  6. Step 6: Final answer
    x = 3,416.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.