Home / 1,587.24-2,382.35-857.39

Finding the Fourth Proportional to 1,587.24, 2,382.35 and 857.39

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Solution

The fourth proportional to 1,587.24, 2,382.35 and 857.39 is: 1,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.24 : 2,382.35 = 857.39 : x
  2. Step 2: Convert to fraction form
    1,587.24/2,382.35 = 857.39/x
  3. Step 3: Cross multiply
    1,587.24x = 2,382.35 × 857.39
  4. Step 4: Simplify right side
    1,587.24x = 2,042,586.87
  5. Step 5: Solve for x
    x = 2,042,586.87/1,587.24
  6. Step 6: Final answer
    x = 1,286.88

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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.