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Finding the Fourth Proportional to 2,279.71, 3,416.48 and 1,660.50

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Solution

The fourth proportional to 2,279.71, 3,416.48 and 1,660.50 is: 2,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.71 : 3,416.48 = 1,660.50 : x
  2. Step 2: Convert to fraction form
    2,279.71/3,416.48 = 1,660.50/x
  3. Step 3: Cross multiply
    2,279.71x = 3,416.48 × 1,660.50
  4. Step 4: Simplify right side
    2,279.71x = 5,673,062.96
  5. Step 5: Solve for x
    x = 5,673,062.96/2,279.71
  6. Step 6: Final answer
    x = 2,488.50

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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.