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Finding the Fourth Proportional to 2,477.08, 3,715.26 and 721.96

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Solution

The fourth proportional to 2,477.08, 3,715.26 and 721.96 is: 1,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.08 : 3,715.26 = 721.96 : x
  2. Step 2: Convert to fraction form
    2,477.08/3,715.26 = 721.96/x
  3. Step 3: Cross multiply
    2,477.08x = 3,715.26 × 721.96
  4. Step 4: Simplify right side
    2,477.08x = 2,682,269.11
  5. Step 5: Solve for x
    x = 2,682,269.11/2,477.08
  6. Step 6: Final answer
    x = 1,082.84

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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.