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Finding the Fourth Proportional to 2,266.88, 3,401.44 and 1,342.40

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Solution

The fourth proportional to 2,266.88, 3,401.44 and 1,342.40 is: 2,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.88 : 3,401.44 = 1,342.40 : x
  2. Step 2: Convert to fraction form
    2,266.88/3,401.44 = 1,342.40/x
  3. Step 3: Cross multiply
    2,266.88x = 3,401.44 × 1,342.40
  4. Step 4: Simplify right side
    2,266.88x = 4,566,093.06
  5. Step 5: Solve for x
    x = 4,566,093.06/2,266.88
  6. Step 6: Final answer
    x = 2,014.26

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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.