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Finding the Fourth Proportional to 3,184.93, 4,395.30 and 1,749.38

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Solution

The fourth proportional to 3,184.93, 4,395.30 and 1,749.38 is: 2,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.93 : 4,395.30 = 1,749.38 : x
  2. Step 2: Convert to fraction form
    3,184.93/4,395.30 = 1,749.38/x
  3. Step 3: Cross multiply
    3,184.93x = 4,395.30 × 1,749.38
  4. Step 4: Simplify right side
    3,184.93x = 7,689,021.38
  5. Step 5: Solve for x
    x = 7,689,021.38/3,184.93
  6. Step 6: Final answer
    x = 2,414.19

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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.