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Finding the Fourth Proportional to 3,296.65, 4,549.38 and 2,037.42

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Solution

The fourth proportional to 3,296.65, 4,549.38 and 2,037.42 is: 2,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.65 : 4,549.38 = 2,037.42 : x
  2. Step 2: Convert to fraction form
    3,296.65/4,549.38 = 2,037.42/x
  3. Step 3: Cross multiply
    3,296.65x = 4,549.38 × 2,037.42
  4. Step 4: Simplify right side
    3,296.65x = 9,269,001.62
  5. Step 5: Solve for x
    x = 9,269,001.62/3,296.65
  6. Step 6: Final answer
    x = 2,811.64

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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.