Home / 1,646.64-2,471.51-867.22

Finding the Fourth Proportional to 1,646.64, 2,471.51 and 867.22

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Solution

The fourth proportional to 1,646.64, 2,471.51 and 867.22 is: 1,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.64 : 2,471.51 = 867.22 : x
  2. Step 2: Convert to fraction form
    1,646.64/2,471.51 = 867.22/x
  3. Step 3: Cross multiply
    1,646.64x = 2,471.51 × 867.22
  4. Step 4: Simplify right side
    1,646.64x = 2,143,326.21
  5. Step 5: Solve for x
    x = 2,143,326.21/1,646.64
  6. Step 6: Final answer
    x = 1,301.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.