Home / 1,568.28-2,164.34-869.80

Finding the Fourth Proportional to 1,568.28, 2,164.34 and 869.80

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Solution

The fourth proportional to 1,568.28, 2,164.34 and 869.80 is: 1,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.28 : 2,164.34 = 869.80 : x
  2. Step 2: Convert to fraction form
    1,568.28/2,164.34 = 869.80/x
  3. Step 3: Cross multiply
    1,568.28x = 2,164.34 × 869.80
  4. Step 4: Simplify right side
    1,568.28x = 1,882,542.93
  5. Step 5: Solve for x
    x = 1,882,542.93/1,568.28
  6. Step 6: Final answer
    x = 1,200.39

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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.