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Finding the Fourth Proportional to 3,151.65, 4,349.38 and 1,735.49

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Solution

The fourth proportional to 3,151.65, 4,349.38 and 1,735.49 is: 2,395.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.65 : 4,349.38 = 1,735.49 : x
  2. Step 2: Convert to fraction form
    3,151.65/4,349.38 = 1,735.49/x
  3. Step 3: Cross multiply
    3,151.65x = 4,349.38 × 1,735.49
  4. Step 4: Simplify right side
    3,151.65x = 7,548,288.09
  5. Step 5: Solve for x
    x = 7,548,288.09/3,151.65
  6. Step 6: Final answer
    x = 2,395.03

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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.