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Finding the Fourth Proportional to 3,288.93, 4,934.42 and 2,054.64

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Solution

The fourth proportional to 3,288.93, 4,934.42 and 2,054.64 is: 3,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.93 : 4,934.42 = 2,054.64 : x
  2. Step 2: Convert to fraction form
    3,288.93/4,934.42 = 2,054.64/x
  3. Step 3: Cross multiply
    3,288.93x = 4,934.42 × 2,054.64
  4. Step 4: Simplify right side
    3,288.93x = 10,138,458.77
  5. Step 5: Solve for x
    x = 10,138,458.77/3,288.93
  6. Step 6: Final answer
    x = 3,082.60

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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.