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Finding the Fourth Proportional to 3,265.93, 4,506.94 and 1,849.57

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Solution

The fourth proportional to 3,265.93, 4,506.94 and 1,849.57 is: 2,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.93 : 4,506.94 = 1,849.57 : x
  2. Step 2: Convert to fraction form
    3,265.93/4,506.94 = 1,849.57/x
  3. Step 3: Cross multiply
    3,265.93x = 4,506.94 × 1,849.57
  4. Step 4: Simplify right side
    3,265.93x = 8,335,901.02
  5. Step 5: Solve for x
    x = 8,335,901.02/3,265.93
  6. Step 6: Final answer
    x = 2,552.38

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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.