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Finding the Fourth Proportional to 1,816.08, 2,723.44 and 776.04

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Solution

The fourth proportional to 1,816.08, 2,723.44 and 776.04 is: 1,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.08 : 2,723.44 = 776.04 : x
  2. Step 2: Convert to fraction form
    1,816.08/2,723.44 = 776.04/x
  3. Step 3: Cross multiply
    1,816.08x = 2,723.44 × 776.04
  4. Step 4: Simplify right side
    1,816.08x = 2,113,498.38
  5. Step 5: Solve for x
    x = 2,113,498.38/1,816.08
  6. Step 6: Final answer
    x = 1,163.77

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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.