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Finding the Fourth Proportional to 3,265, 4,505.70 and 2,024.68

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Solution

The fourth proportional to 3,265, 4,505.70 and 2,024.68 is: 2,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265 : 4,505.70 = 2,024.68 : x
  2. Step 2: Convert to fraction form
    3,265/4,505.70 = 2,024.68/x
  3. Step 3: Cross multiply
    3,265x = 4,505.70 × 2,024.68
  4. Step 4: Simplify right side
    3,265x = 9,122,600.68
  5. Step 5: Solve for x
    x = 9,122,600.68/3,265
  6. Step 6: Final answer
    x = 2,794.06

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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.