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Finding the Fourth Proportional to 2,477.04, 3,715.73 and 722.05

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Solution

The fourth proportional to 2,477.04, 3,715.73 and 722.05 is: 1,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.04 : 3,715.73 = 722.05 : x
  2. Step 2: Convert to fraction form
    2,477.04/3,715.73 = 722.05/x
  3. Step 3: Cross multiply
    2,477.04x = 3,715.73 × 722.05
  4. Step 4: Simplify right side
    2,477.04x = 2,682,942.85
  5. Step 5: Solve for x
    x = 2,682,942.85/2,477.04
  6. Step 6: Final answer
    x = 1,083.12

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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.