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Finding the Fourth Proportional to 2,401.56, 3,582 and 2,266.92

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Solution

The fourth proportional to 2,401.56, 3,582 and 2,266.92 is: 3,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.56 : 3,582 = 2,266.92 : x
  2. Step 2: Convert to fraction form
    2,401.56/3,582 = 2,266.92/x
  3. Step 3: Cross multiply
    2,401.56x = 3,582 × 2,266.92
  4. Step 4: Simplify right side
    2,401.56x = 8,120,107.44
  5. Step 5: Solve for x
    x = 8,120,107.44/2,401.56
  6. Step 6: Final answer
    x = 3,381.18

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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.