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Finding the Fourth Proportional to 2,265.63, 3,397.47 and 1,033.82

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Solution

The fourth proportional to 2,265.63, 3,397.47 and 1,033.82 is: 1,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.63 : 3,397.47 = 1,033.82 : x
  2. Step 2: Convert to fraction form
    2,265.63/3,397.47 = 1,033.82/x
  3. Step 3: Cross multiply
    2,265.63x = 3,397.47 × 1,033.82
  4. Step 4: Simplify right side
    2,265.63x = 3,512,355.45
  5. Step 5: Solve for x
    x = 3,512,355.45/2,265.63
  6. Step 6: Final answer
    x = 1,550.28

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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.