Home / 1,381.28-2,071.92-408.07

Finding the Fourth Proportional to 1,381.28, 2,071.92 and 408.07

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Solution

The fourth proportional to 1,381.28, 2,071.92 and 408.07 is: 612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.28 : 2,071.92 = 408.07 : x
  2. Step 2: Convert to fraction form
    1,381.28/2,071.92 = 408.07/x
  3. Step 3: Cross multiply
    1,381.28x = 2,071.92 × 408.07
  4. Step 4: Simplify right side
    1,381.28x = 845,478.03
  5. Step 5: Solve for x
    x = 845,478.03/1,381.28
  6. Step 6: Final answer
    x = 612.10

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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.