Home / 1,465.64-2,022.24-867.83

Finding the Fourth Proportional to 1,465.64, 2,022.24 and 867.83

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Solution

The fourth proportional to 1,465.64, 2,022.24 and 867.83 is: 1,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.64 : 2,022.24 = 867.83 : x
  2. Step 2: Convert to fraction form
    1,465.64/2,022.24 = 867.83/x
  3. Step 3: Cross multiply
    1,465.64x = 2,022.24 × 867.83
  4. Step 4: Simplify right side
    1,465.64x = 1,754,967.76
  5. Step 5: Solve for x
    x = 1,754,967.76/1,465.64
  6. Step 6: Final answer
    x = 1,197.41

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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.