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Finding the Fourth Proportional to 2,265.56, 3,126.98 and 1,381.18

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Solution

The fourth proportional to 2,265.56, 3,126.98 and 1,381.18 is: 1,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.56 : 3,126.98 = 1,381.18 : x
  2. Step 2: Convert to fraction form
    2,265.56/3,126.98 = 1,381.18/x
  3. Step 3: Cross multiply
    2,265.56x = 3,126.98 × 1,381.18
  4. Step 4: Simplify right side
    2,265.56x = 4,318,922.24
  5. Step 5: Solve for x
    x = 4,318,922.24/2,265.56
  6. Step 6: Final answer
    x = 1,906.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.