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Finding the Fourth Proportional to 2,318.40, 3,477.83 and 757.89

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Solution

The fourth proportional to 2,318.40, 3,477.83 and 757.89 is: 1,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.40 : 3,477.83 = 757.89 : x
  2. Step 2: Convert to fraction form
    2,318.40/3,477.83 = 757.89/x
  3. Step 3: Cross multiply
    2,318.40x = 3,477.83 × 757.89
  4. Step 4: Simplify right side
    2,318.40x = 2,635,808.79
  5. Step 5: Solve for x
    x = 2,635,808.79/2,318.40
  6. Step 6: Final answer
    x = 1,136.91

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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.