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Finding the Fourth Proportional to 2,266.98, 3,400.98 and 1,034.06

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Solution

The fourth proportional to 2,266.98, 3,400.98 and 1,034.06 is: 1,551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.98 : 3,400.98 = 1,034.06 : x
  2. Step 2: Convert to fraction form
    2,266.98/3,400.98 = 1,034.06/x
  3. Step 3: Cross multiply
    2,266.98x = 3,400.98 × 1,034.06
  4. Step 4: Simplify right side
    2,266.98x = 3,516,817.38
  5. Step 5: Solve for x
    x = 3,516,817.38/2,266.98
  6. Step 6: Final answer
    x = 1,551.32

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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.