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Finding the Fourth Proportional to 2,657.92, 3,668.16 and 1,724.80

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Solution

The fourth proportional to 2,657.92, 3,668.16 and 1,724.80 is: 2,380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.92 : 3,668.16 = 1,724.80 : x
  2. Step 2: Convert to fraction form
    2,657.92/3,668.16 = 1,724.80/x
  3. Step 3: Cross multiply
    2,657.92x = 3,668.16 × 1,724.80
  4. Step 4: Simplify right side
    2,657.92x = 6,326,842.37
  5. Step 5: Solve for x
    x = 6,326,842.37/2,657.92
  6. Step 6: Final answer
    x = 2,380.37

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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.