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Finding the Fourth Proportional to 2,039.52, 3,060.08 and 885.28

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Solution

The fourth proportional to 2,039.52, 3,060.08 and 885.28 is: 1,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.52 : 3,060.08 = 885.28 : x
  2. Step 2: Convert to fraction form
    2,039.52/3,060.08 = 885.28/x
  3. Step 3: Cross multiply
    2,039.52x = 3,060.08 × 885.28
  4. Step 4: Simplify right side
    2,039.52x = 2,709,027.62
  5. Step 5: Solve for x
    x = 2,709,027.62/2,039.52
  6. Step 6: Final answer
    x = 1,328.27

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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.