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Finding the Fourth Proportional to 2,295.39, 3,443.13 and 735.69

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Solution

The fourth proportional to 2,295.39, 3,443.13 and 735.69 is: 1,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.39 : 3,443.13 = 735.69 : x
  2. Step 2: Convert to fraction form
    2,295.39/3,443.13 = 735.69/x
  3. Step 3: Cross multiply
    2,295.39x = 3,443.13 × 735.69
  4. Step 4: Simplify right side
    2,295.39x = 2,533,076.31
  5. Step 5: Solve for x
    x = 2,533,076.31/2,295.39
  6. Step 6: Final answer
    x = 1,103.55

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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.