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Finding the Fourth Proportional to 3,003.52, 4,502.14 and 1,028.57

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Solution

The fourth proportional to 3,003.52, 4,502.14 and 1,028.57 is: 1,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.52 : 4,502.14 = 1,028.57 : x
  2. Step 2: Convert to fraction form
    3,003.52/4,502.14 = 1,028.57/x
  3. Step 3: Cross multiply
    3,003.52x = 4,502.14 × 1,028.57
  4. Step 4: Simplify right side
    3,003.52x = 4,630,754.62
  5. Step 5: Solve for x
    x = 4,630,754.62/3,003.52
  6. Step 6: Final answer
    x = 1,541.78

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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.