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Finding the Fourth Proportional to 2,696.06, 4,044.09 and 847.22

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Solution

The fourth proportional to 2,696.06, 4,044.09 and 847.22 is: 1,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.06 : 4,044.09 = 847.22 : x
  2. Step 2: Convert to fraction form
    2,696.06/4,044.09 = 847.22/x
  3. Step 3: Cross multiply
    2,696.06x = 4,044.09 × 847.22
  4. Step 4: Simplify right side
    2,696.06x = 3,426,213.71
  5. Step 5: Solve for x
    x = 3,426,213.71/2,696.06
  6. Step 6: Final answer
    x = 1,270.82

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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.