Home / 1,568.25-2,164.19-869.63

Finding the Fourth Proportional to 1,568.25, 2,164.19 and 869.63

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Solution

The fourth proportional to 1,568.25, 2,164.19 and 869.63 is: 1,200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.25 : 2,164.19 = 869.63 : x
  2. Step 2: Convert to fraction form
    1,568.25/2,164.19 = 869.63/x
  3. Step 3: Cross multiply
    1,568.25x = 2,164.19 × 869.63
  4. Step 4: Simplify right side
    1,568.25x = 1,882,029.38
  5. Step 5: Solve for x
    x = 1,882,029.38/1,568.25
  6. Step 6: Final answer
    x = 1,200.08

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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.