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Finding the Fourth Proportional to 2,511.57, 3,767.62 and 868.12

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Solution

The fourth proportional to 2,511.57, 3,767.62 and 868.12 is: 1,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.57 : 3,767.62 = 868.12 : x
  2. Step 2: Convert to fraction form
    2,511.57/3,767.62 = 868.12/x
  3. Step 3: Cross multiply
    2,511.57x = 3,767.62 × 868.12
  4. Step 4: Simplify right side
    2,511.57x = 3,270,746.27
  5. Step 5: Solve for x
    x = 3,270,746.27/2,511.57
  6. Step 6: Final answer
    x = 1,302.27

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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.