Home / 1,587.15-2,381.67-766.27

Finding the Fourth Proportional to 1,587.15, 2,381.67 and 766.27

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Solution

The fourth proportional to 1,587.15, 2,381.67 and 766.27 is: 1,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.15 : 2,381.67 = 766.27 : x
  2. Step 2: Convert to fraction form
    1,587.15/2,381.67 = 766.27/x
  3. Step 3: Cross multiply
    1,587.15x = 2,381.67 × 766.27
  4. Step 4: Simplify right side
    1,587.15x = 1,824,998.44
  5. Step 5: Solve for x
    x = 1,824,998.44/1,587.15
  6. Step 6: Final answer
    x = 1,149.86

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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.