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Finding the Fourth Proportional to 1,566.38, 2,161.67 and 867.75

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Solution

The fourth proportional to 1,566.38, 2,161.67 and 867.75 is: 1,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.38 : 2,161.67 = 867.75 : x
  2. Step 2: Convert to fraction form
    1,566.38/2,161.67 = 867.75/x
  3. Step 3: Cross multiply
    1,566.38x = 2,161.67 × 867.75
  4. Step 4: Simplify right side
    1,566.38x = 1,875,784.80
  5. Step 5: Solve for x
    x = 1,875,784.80/1,566.38
  6. Step 6: Final answer
    x = 1,197.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.