Home / 2,922.27-4,032.74-1,596

Finding the Fourth Proportional to 2,922.27, 4,032.74 and 1,596

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Solution

The fourth proportional to 2,922.27, 4,032.74 and 1,596 is: 2,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.27 : 4,032.74 = 1,596 : x
  2. Step 2: Convert to fraction form
    2,922.27/4,032.74 = 1,596/x
  3. Step 3: Cross multiply
    2,922.27x = 4,032.74 × 1,596
  4. Step 4: Simplify right side
    2,922.27x = 6,436,253.04
  5. Step 5: Solve for x
    x = 6,436,253.04/2,922.27
  6. Step 6: Final answer
    x = 2,202.48

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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.