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Finding the Fourth Proportional to 2,696.67, 4,044.41 and 847.55

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Solution

The fourth proportional to 2,696.67, 4,044.41 and 847.55 is: 1,271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.67 : 4,044.41 = 847.55 : x
  2. Step 2: Convert to fraction form
    2,696.67/4,044.41 = 847.55/x
  3. Step 3: Cross multiply
    2,696.67x = 4,044.41 × 847.55
  4. Step 4: Simplify right side
    2,696.67x = 3,427,815.24
  5. Step 5: Solve for x
    x = 3,427,815.24/2,696.67
  6. Step 6: Final answer
    x = 1,271.13

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1.5x scale

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.