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Finding the Fourth Proportional to 2,317.39, 3,476.12 and 757.38

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Solution

The fourth proportional to 2,317.39, 3,476.12 and 757.38 is: 1,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.39 : 3,476.12 = 757.38 : x
  2. Step 2: Convert to fraction form
    2,317.39/3,476.12 = 757.38/x
  3. Step 3: Cross multiply
    2,317.39x = 3,476.12 × 757.38
  4. Step 4: Simplify right side
    2,317.39x = 2,632,743.77
  5. Step 5: Solve for x
    x = 2,632,743.77/2,317.39
  6. Step 6: Final answer
    x = 1,136.08

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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.