Home / 1,532.69-2,115.24-869.66

Finding the Fourth Proportional to 1,532.69, 2,115.24 and 869.66

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Solution

The fourth proportional to 1,532.69, 2,115.24 and 869.66 is: 1,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.69 : 2,115.24 = 869.66 : x
  2. Step 2: Convert to fraction form
    1,532.69/2,115.24 = 869.66/x
  3. Step 3: Cross multiply
    1,532.69x = 2,115.24 × 869.66
  4. Step 4: Simplify right side
    1,532.69x = 1,839,529.04
  5. Step 5: Solve for x
    x = 1,839,529.04/1,532.69
  6. Step 6: Final answer
    x = 1,200.20

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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.