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Finding the Fourth Proportional to 3,269.16, 4,904.10 and 1,077.90

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Solution

The fourth proportional to 3,269.16, 4,904.10 and 1,077.90 is: 1,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.16 : 4,904.10 = 1,077.90 : x
  2. Step 2: Convert to fraction form
    3,269.16/4,904.10 = 1,077.90/x
  3. Step 3: Cross multiply
    3,269.16x = 4,904.10 × 1,077.90
  4. Step 4: Simplify right side
    3,269.16x = 5,286,129.39
  5. Step 5: Solve for x
    x = 5,286,129.39/3,269.16
  6. Step 6: Final answer
    x = 1,616.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.