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Finding the Fourth Proportional to 3,308.26, 4,565.47 and 2,049.52

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Solution

The fourth proportional to 3,308.26, 4,565.47 and 2,049.52 is: 2,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.26 : 4,565.47 = 2,049.52 : x
  2. Step 2: Convert to fraction form
    3,308.26/4,565.47 = 2,049.52/x
  3. Step 3: Cross multiply
    3,308.26x = 4,565.47 × 2,049.52
  4. Step 4: Simplify right side
    3,308.26x = 9,357,022.07
  5. Step 5: Solve for x
    x = 9,357,022.07/3,308.26
  6. Step 6: Final answer
    x = 2,828.38

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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.