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Finding the Fourth Proportional to 2,696.33, 4,044.50 and 847.59

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Solution

The fourth proportional to 2,696.33, 4,044.50 and 847.59 is: 1,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.33 : 4,044.50 = 847.59 : x
  2. Step 2: Convert to fraction form
    2,696.33/4,044.50 = 847.59/x
  3. Step 3: Cross multiply
    2,696.33x = 4,044.50 × 847.59
  4. Step 4: Simplify right side
    2,696.33x = 3,428,073.52
  5. Step 5: Solve for x
    x = 3,428,073.52/2,696.33
  6. Step 6: Final answer
    x = 1,271.39

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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.