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Finding the Fourth Proportional to 3,269.52, 4,904.28 and 1,077.66

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Solution

The fourth proportional to 3,269.52, 4,904.28 and 1,077.66 is: 1,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.52 : 4,904.28 = 1,077.66 : x
  2. Step 2: Convert to fraction form
    3,269.52/4,904.28 = 1,077.66/x
  3. Step 3: Cross multiply
    3,269.52x = 4,904.28 × 1,077.66
  4. Step 4: Simplify right side
    3,269.52x = 5,285,146.38
  5. Step 5: Solve for x
    x = 5,285,146.38/3,269.52
  6. Step 6: Final answer
    x = 1,616.49

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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.