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Finding the Fourth Proportional to 1,745.13, 2,407.68 and 998.82

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Solution

The fourth proportional to 1,745.13, 2,407.68 and 998.82 is: 1,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.13 : 2,407.68 = 998.82 : x
  2. Step 2: Convert to fraction form
    1,745.13/2,407.68 = 998.82/x
  3. Step 3: Cross multiply
    1,745.13x = 2,407.68 × 998.82
  4. Step 4: Simplify right side
    1,745.13x = 2,404,838.94
  5. Step 5: Solve for x
    x = 2,404,838.94/1,745.13
  6. Step 6: Final answer
    x = 1,378.03

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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.