Home / 2,584.50-3,875.97-1,023.90

Finding the Fourth Proportional to 2,584.50, 3,875.97 and 1,023.90

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Solution

The fourth proportional to 2,584.50, 3,875.97 and 1,023.90 is: 1,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.50 : 3,875.97 = 1,023.90 : x
  2. Step 2: Convert to fraction form
    2,584.50/3,875.97 = 1,023.90/x
  3. Step 3: Cross multiply
    2,584.50x = 3,875.97 × 1,023.90
  4. Step 4: Simplify right side
    2,584.50x = 3,968,605.68
  5. Step 5: Solve for x
    x = 3,968,605.68/2,584.50
  6. Step 6: Final answer
    x = 1,535.54

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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.