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Finding the Fourth Proportional to 3,071.78, 4,239.06 and 1,674.53

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Solution

The fourth proportional to 3,071.78, 4,239.06 and 1,674.53 is: 2,310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.78 : 4,239.06 = 1,674.53 : x
  2. Step 2: Convert to fraction form
    3,071.78/4,239.06 = 1,674.53/x
  3. Step 3: Cross multiply
    3,071.78x = 4,239.06 × 1,674.53
  4. Step 4: Simplify right side
    3,071.78x = 7,098,433.14
  5. Step 5: Solve for x
    x = 7,098,433.14/3,071.78
  6. Step 6: Final answer
    x = 2,310.85

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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.