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Finding the Fourth Proportional to 2,295.39, 3,444 and 834.66

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Solution

The fourth proportional to 2,295.39, 3,444 and 834.66 is: 1,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.39 : 3,444 = 834.66 : x
  2. Step 2: Convert to fraction form
    2,295.39/3,444 = 834.66/x
  3. Step 3: Cross multiply
    2,295.39x = 3,444 × 834.66
  4. Step 4: Simplify right side
    2,295.39x = 2,874,569.04
  5. Step 5: Solve for x
    x = 2,874,569.04/2,295.39
  6. Step 6: Final answer
    x = 1,252.32

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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.