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Finding the Fourth Proportional to 3,263.64, 4,499.60 and 2,082.68

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Solution

The fourth proportional to 3,263.64, 4,499.60 and 2,082.68 is: 2,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.64 : 4,499.60 = 2,082.68 : x
  2. Step 2: Convert to fraction form
    3,263.64/4,499.60 = 2,082.68/x
  3. Step 3: Cross multiply
    3,263.64x = 4,499.60 × 2,082.68
  4. Step 4: Simplify right side
    3,263.64x = 9,371,226.93
  5. Step 5: Solve for x
    x = 9,371,226.93/3,263.64
  6. Step 6: Final answer
    x = 2,871.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.