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Finding the Fourth Proportional to 2,016, 3,023.66 and 554.76

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Solution

The fourth proportional to 2,016, 3,023.66 and 554.76 is: 832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016 : 3,023.66 = 554.76 : x
  2. Step 2: Convert to fraction form
    2,016/3,023.66 = 554.76/x
  3. Step 3: Cross multiply
    2,016x = 3,023.66 × 554.76
  4. Step 4: Simplify right side
    2,016x = 1,677,402.85
  5. Step 5: Solve for x
    x = 1,677,402.85/2,016
  6. Step 6: Final answer
    x = 832.05

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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.