Home / 2,056.71-3,086.05-824.97

Finding the Fourth Proportional to 2,056.71, 3,086.05 and 824.97

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Solution

The fourth proportional to 2,056.71, 3,086.05 and 824.97 is: 1,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.71 : 3,086.05 = 824.97 : x
  2. Step 2: Convert to fraction form
    2,056.71/3,086.05 = 824.97/x
  3. Step 3: Cross multiply
    2,056.71x = 3,086.05 × 824.97
  4. Step 4: Simplify right side
    2,056.71x = 2,545,898.67
  5. Step 5: Solve for x
    x = 2,545,898.67/2,056.71
  6. Step 6: Final answer
    x = 1,237.85

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1.5x scale

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.