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Finding the Fourth Proportional to 3,265.97, 4,506.89 and 1,849.62

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Solution

The fourth proportional to 3,265.97, 4,506.89 and 1,849.62 is: 2,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.97 : 4,506.89 = 1,849.62 : x
  2. Step 2: Convert to fraction form
    3,265.97/4,506.89 = 1,849.62/x
  3. Step 3: Cross multiply
    3,265.97x = 4,506.89 × 1,849.62
  4. Step 4: Simplify right side
    3,265.97x = 8,336,048.47
  5. Step 5: Solve for x
    x = 8,336,048.47/3,265.97
  6. Step 6: Final answer
    x = 2,552.40

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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.