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Finding the Fourth Proportional to 2,696.05, 4,044.48 and 847.33

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Solution

The fourth proportional to 2,696.05, 4,044.48 and 847.33 is: 1,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.05 : 4,044.48 = 847.33 : x
  2. Step 2: Convert to fraction form
    2,696.05/4,044.48 = 847.33/x
  3. Step 3: Cross multiply
    2,696.05x = 4,044.48 × 847.33
  4. Step 4: Simplify right side
    2,696.05x = 3,427,009.24
  5. Step 5: Solve for x
    x = 3,427,009.24/2,696.05
  6. Step 6: Final answer
    x = 1,271.12

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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.