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Finding the Fourth Proportional to 2,048.28, 3,072.42 and 587.54

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Solution

The fourth proportional to 2,048.28, 3,072.42 and 587.54 is: 881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.28 : 3,072.42 = 587.54 : x
  2. Step 2: Convert to fraction form
    2,048.28/3,072.42 = 587.54/x
  3. Step 3: Cross multiply
    2,048.28x = 3,072.42 × 587.54
  4. Step 4: Simplify right side
    2,048.28x = 1,805,177.33
  5. Step 5: Solve for x
    x = 1,805,177.33/2,048.28
  6. Step 6: Final answer
    x = 881.32

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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.