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Finding the Fourth Proportional to 2,317.25, 3,473.75 and 756.29

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Solution

The fourth proportional to 2,317.25, 3,473.75 and 756.29 is: 1,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.25 : 3,473.75 = 756.29 : x
  2. Step 2: Convert to fraction form
    2,317.25/3,473.75 = 756.29/x
  3. Step 3: Cross multiply
    2,317.25x = 3,473.75 × 756.29
  4. Step 4: Simplify right side
    2,317.25x = 2,627,172.96
  5. Step 5: Solve for x
    x = 2,627,172.96/2,317.25
  6. Step 6: Final answer
    x = 1,133.74

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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.