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Finding the Fourth Proportional to 1,744.11, 2,406.86 and 998.08

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Solution

The fourth proportional to 1,744.11, 2,406.86 and 998.08 is: 1,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.11 : 2,406.86 = 998.08 : x
  2. Step 2: Convert to fraction form
    1,744.11/2,406.86 = 998.08/x
  3. Step 3: Cross multiply
    1,744.11x = 2,406.86 × 998.08
  4. Step 4: Simplify right side
    1,744.11x = 2,402,243.95
  5. Step 5: Solve for x
    x = 2,402,243.95/1,744.11
  6. Step 6: Final answer
    x = 1,377.35

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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.