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Finding the Fourth Proportional to 2,265.78, 3,397.74 and 1,034.04

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Solution

The fourth proportional to 2,265.78, 3,397.74 and 1,034.04 is: 1,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.78 : 3,397.74 = 1,034.04 : x
  2. Step 2: Convert to fraction form
    2,265.78/3,397.74 = 1,034.04/x
  3. Step 3: Cross multiply
    2,265.78x = 3,397.74 × 1,034.04
  4. Step 4: Simplify right side
    2,265.78x = 3,513,399.07
  5. Step 5: Solve for x
    x = 3,513,399.07/2,265.78
  6. Step 6: Final answer
    x = 1,550.64

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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.