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Finding the Fourth Proportional to 2,048.31, 3,072.57 and 587.48

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Solution

The fourth proportional to 2,048.31, 3,072.57 and 587.48 is: 881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.31 : 3,072.57 = 587.48 : x
  2. Step 2: Convert to fraction form
    2,048.31/3,072.57 = 587.48/x
  3. Step 3: Cross multiply
    2,048.31x = 3,072.57 × 587.48
  4. Step 4: Simplify right side
    2,048.31x = 1,805,058.06
  5. Step 5: Solve for x
    x = 1,805,058.06/2,048.31
  6. Step 6: Final answer
    x = 881.24

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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.