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Finding the Fourth Proportional to 2,302.75, 3,452.64 and 841.78

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Solution

The fourth proportional to 2,302.75, 3,452.64 and 841.78 is: 1,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.75 : 3,452.64 = 841.78 : x
  2. Step 2: Convert to fraction form
    2,302.75/3,452.64 = 841.78/x
  3. Step 3: Cross multiply
    2,302.75x = 3,452.64 × 841.78
  4. Step 4: Simplify right side
    2,302.75x = 2,906,363.30
  5. Step 5: Solve for x
    x = 2,906,363.30/2,302.75
  6. Step 6: Final answer
    x = 1,262.13

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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.