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Finding the Fourth Proportional to 2,842.01, 3,921.98 and 1,849.96

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Solution

The fourth proportional to 2,842.01, 3,921.98 and 1,849.96 is: 2,552.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.01 : 3,921.98 = 1,849.96 : x
  2. Step 2: Convert to fraction form
    2,842.01/3,921.98 = 1,849.96/x
  3. Step 3: Cross multiply
    2,842.01x = 3,921.98 × 1,849.96
  4. Step 4: Simplify right side
    2,842.01x = 7,255,506.12
  5. Step 5: Solve for x
    x = 7,255,506.12/2,842.01
  6. Step 6: Final answer
    x = 2,552.95

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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.