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Finding the Fourth Proportional to 2,855.52, 4,282.92 and 2,371.68

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Solution

The fourth proportional to 2,855.52, 4,282.92 and 2,371.68 is: 3,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.52 : 4,282.92 = 2,371.68 : x
  2. Step 2: Convert to fraction form
    2,855.52/4,282.92 = 2,371.68/x
  3. Step 3: Cross multiply
    2,855.52x = 4,282.92 × 2,371.68
  4. Step 4: Simplify right side
    2,855.52x = 10,157,715.71
  5. Step 5: Solve for x
    x = 10,157,715.71/2,855.52
  6. Step 6: Final answer
    x = 3,557.22

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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.