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Finding the Fourth Proportional to 2,048.47, 3,073.21 and 587.61

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Solution

The fourth proportional to 2,048.47, 3,073.21 and 587.61 is: 881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.47 : 3,073.21 = 587.61 : x
  2. Step 2: Convert to fraction form
    2,048.47/3,073.21 = 587.61/x
  3. Step 3: Cross multiply
    2,048.47x = 3,073.21 × 587.61
  4. Step 4: Simplify right side
    2,048.47x = 1,805,847.46
  5. Step 5: Solve for x
    x = 1,805,847.46/2,048.47
  6. Step 6: Final answer
    x = 881.56

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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.