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Finding the Fourth Proportional to 1,571.70, 2,169.13 and 908.57

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Solution

The fourth proportional to 1,571.70, 2,169.13 and 908.57 is: 1,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.70 : 2,169.13 = 908.57 : x
  2. Step 2: Convert to fraction form
    1,571.70/2,169.13 = 908.57/x
  3. Step 3: Cross multiply
    1,571.70x = 2,169.13 × 908.57
  4. Step 4: Simplify right side
    1,571.70x = 1,970,799.10
  5. Step 5: Solve for x
    x = 1,970,799.10/1,571.70
  6. Step 6: Final answer
    x = 1,253.93

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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.