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Finding the Fourth Proportional to 2,048.28, 3,072.48 and 587.55

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Solution

The fourth proportional to 2,048.28, 3,072.48 and 587.55 is: 881.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.28 : 3,072.48 = 587.55 : x
  2. Step 2: Convert to fraction form
    2,048.28/3,072.48 = 587.55/x
  3. Step 3: Cross multiply
    2,048.28x = 3,072.48 × 587.55
  4. Step 4: Simplify right side
    2,048.28x = 1,805,235.62
  5. Step 5: Solve for x
    x = 1,805,235.62/2,048.28
  6. Step 6: Final answer
    x = 881.34

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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.