Home / 2,582.25-3,873.91-1,283.01

Finding the Fourth Proportional to 2,582.25, 3,873.91 and 1,283.01

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Solution

The fourth proportional to 2,582.25, 3,873.91 and 1,283.01 is: 1,924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.25 : 3,873.91 = 1,283.01 : x
  2. Step 2: Convert to fraction form
    2,582.25/3,873.91 = 1,283.01/x
  3. Step 3: Cross multiply
    2,582.25x = 3,873.91 × 1,283.01
  4. Step 4: Simplify right side
    2,582.25x = 4,970,265.27
  5. Step 5: Solve for x
    x = 4,970,265.27/2,582.25
  6. Step 6: Final answer
    x = 1,924.78

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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.