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Finding the Fourth Proportional to 2,048.36, 3,071.42 and 731.90

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Solution

The fourth proportional to 2,048.36, 3,071.42 and 731.90 is: 1,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.36 : 3,071.42 = 731.90 : x
  2. Step 2: Convert to fraction form
    2,048.36/3,071.42 = 731.90/x
  3. Step 3: Cross multiply
    2,048.36x = 3,071.42 × 731.90
  4. Step 4: Simplify right side
    2,048.36x = 2,247,979.06
  5. Step 5: Solve for x
    x = 2,247,979.06/2,048.36
  6. Step 6: Final answer
    x = 1,097.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.