Home / 2,974.20-4,460-1,587.28

Finding the Fourth Proportional to 2,974.20, 4,460 and 1,587.28

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Solution

The fourth proportional to 2,974.20, 4,460 and 1,587.28 is: 2,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.20 : 4,460 = 1,587.28 : x
  2. Step 2: Convert to fraction form
    2,974.20/4,460 = 1,587.28/x
  3. Step 3: Cross multiply
    2,974.20x = 4,460 × 1,587.28
  4. Step 4: Simplify right side
    2,974.20x = 7,079,268.80
  5. Step 5: Solve for x
    x = 7,079,268.80/2,974.20
  6. Step 6: Final answer
    x = 2,380.23

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