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Finding the Fourth Proportional to 1,721.71, 2,582.57 and 423.19

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Solution

The fourth proportional to 1,721.71, 2,582.57 and 423.19 is: 634.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.71 : 2,582.57 = 423.19 : x
  2. Step 2: Convert to fraction form
    1,721.71/2,582.57 = 423.19/x
  3. Step 3: Cross multiply
    1,721.71x = 2,582.57 × 423.19
  4. Step 4: Simplify right side
    1,721.71x = 1,092,917.80
  5. Step 5: Solve for x
    x = 1,092,917.80/1,721.71
  6. Step 6: Final answer
    x = 634.79

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Similar ratio
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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.