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Finding the Fourth Proportional to 2,337.06, 3,505.83 and 776.73

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Solution

The fourth proportional to 2,337.06, 3,505.83 and 776.73 is: 1,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.06 : 3,505.83 = 776.73 : x
  2. Step 2: Convert to fraction form
    2,337.06/3,505.83 = 776.73/x
  3. Step 3: Cross multiply
    2,337.06x = 3,505.83 × 776.73
  4. Step 4: Simplify right side
    2,337.06x = 2,723,083.34
  5. Step 5: Solve for x
    x = 2,723,083.34/2,337.06
  6. Step 6: Final answer
    x = 1,165.17

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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.