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Finding the Fourth Proportional to 3,072.38, 4,239.97 and 1,746.14

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Solution

The fourth proportional to 3,072.38, 4,239.97 and 1,746.14 is: 2,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.38 : 4,239.97 = 1,746.14 : x
  2. Step 2: Convert to fraction form
    3,072.38/4,239.97 = 1,746.14/x
  3. Step 3: Cross multiply
    3,072.38x = 4,239.97 × 1,746.14
  4. Step 4: Simplify right side
    3,072.38x = 7,403,555.65
  5. Step 5: Solve for x
    x = 7,403,555.65/3,072.38
  6. Step 6: Final answer
    x = 2,409.72

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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.