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Finding the Fourth Proportional to 2,459.97, 3,696.33 and 1,849.43

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Solution

The fourth proportional to 2,459.97, 3,696.33 and 1,849.43 is: 2,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.97 : 3,696.33 = 1,849.43 : x
  2. Step 2: Convert to fraction form
    2,459.97/3,696.33 = 1,849.43/x
  3. Step 3: Cross multiply
    2,459.97x = 3,696.33 × 1,849.43
  4. Step 4: Simplify right side
    2,459.97x = 6,836,075.86
  5. Step 5: Solve for x
    x = 6,836,075.86/2,459.97
  6. Step 6: Final answer
    x = 2,778.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.