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Finding the Fourth Proportional to 2,266.74, 3,401.26 and 1,034

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Solution

The fourth proportional to 2,266.74, 3,401.26 and 1,034 is: 1,551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.74 : 3,401.26 = 1,034 : x
  2. Step 2: Convert to fraction form
    2,266.74/3,401.26 = 1,034/x
  3. Step 3: Cross multiply
    2,266.74x = 3,401.26 × 1,034
  4. Step 4: Simplify right side
    2,266.74x = 3,516,902.84
  5. Step 5: Solve for x
    x = 3,516,902.84/2,266.74
  6. Step 6: Final answer
    x = 1,551.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.