Home / 2,582.85-3,872.00-1,023.95

Finding the Fourth Proportional to 2,582.85, 3,872.00 and 1,023.95

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Solution

The fourth proportional to 2,582.85, 3,872.00 and 1,023.95 is: 1,535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.85 : 3,872.00 = 1,023.95 : x
  2. Step 2: Convert to fraction form
    2,582.85/3,872.00 = 1,023.95/x
  3. Step 3: Cross multiply
    2,582.85x = 3,872.00 × 1,023.95
  4. Step 4: Simplify right side
    2,582.85x = 3,964,721.98
  5. Step 5: Solve for x
    x = 3,964,721.98/2,582.85
  6. Step 6: Final answer
    x = 1,535.02

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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.