Home / 1,564.68-2,158.38-1,067.16

Finding the Fourth Proportional to 1,564.68, 2,158.38 and 1,067.16

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Solution

The fourth proportional to 1,564.68, 2,158.38 and 1,067.16 is: 1,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.68 : 2,158.38 = 1,067.16 : x
  2. Step 2: Convert to fraction form
    1,564.68/2,158.38 = 1,067.16/x
  3. Step 3: Cross multiply
    1,564.68x = 2,158.38 × 1,067.16
  4. Step 4: Simplify right side
    1,564.68x = 2,303,336.80
  5. Step 5: Solve for x
    x = 2,303,336.80/1,564.68
  6. Step 6: Final answer
    x = 1,472.08

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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.