Home / 2,952.24-4,427.72-872.40

Finding the Fourth Proportional to 2,952.24, 4,427.72 and 872.40

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Solution

The fourth proportional to 2,952.24, 4,427.72 and 872.40 is: 1,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.24 : 4,427.72 = 872.40 : x
  2. Step 2: Convert to fraction form
    2,952.24/4,427.72 = 872.40/x
  3. Step 3: Cross multiply
    2,952.24x = 4,427.72 × 872.40
  4. Step 4: Simplify right side
    2,952.24x = 3,862,742.93
  5. Step 5: Solve for x
    x = 3,862,742.93/2,952.24
  6. Step 6: Final answer
    x = 1,308.41

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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.