Home / 2,824.78-3,898.20-1,582.78

Finding the Fourth Proportional to 2,824.78, 3,898.20 and 1,582.78

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Solution

The fourth proportional to 2,824.78, 3,898.20 and 1,582.78 is: 2,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.78 : 3,898.20 = 1,582.78 : x
  2. Step 2: Convert to fraction form
    2,824.78/3,898.20 = 1,582.78/x
  3. Step 3: Cross multiply
    2,824.78x = 3,898.20 × 1,582.78
  4. Step 4: Simplify right side
    2,824.78x = 6,169,997.87
  5. Step 5: Solve for x
    x = 6,169,997.87/2,824.78
  6. Step 6: Final answer
    x = 2,184.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.