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Finding the Fourth Proportional to 2,696.47, 4,044.43 and 847.53

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Solution

The fourth proportional to 2,696.47, 4,044.43 and 847.53 is: 1,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.47 : 4,044.43 = 847.53 : x
  2. Step 2: Convert to fraction form
    2,696.47/4,044.43 = 847.53/x
  3. Step 3: Cross multiply
    2,696.47x = 4,044.43 × 847.53
  4. Step 4: Simplify right side
    2,696.47x = 3,427,773.64
  5. Step 5: Solve for x
    x = 3,427,773.64/2,696.47
  6. Step 6: Final answer
    x = 1,271.21

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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.