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Finding the Fourth Proportional to 2,379.71, 3,568.98 and 736.31

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Solution

The fourth proportional to 2,379.71, 3,568.98 and 736.31 is: 1,104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.71 : 3,568.98 = 736.31 : x
  2. Step 2: Convert to fraction form
    2,379.71/3,568.98 = 736.31/x
  3. Step 3: Cross multiply
    2,379.71x = 3,568.98 × 736.31
  4. Step 4: Simplify right side
    2,379.71x = 2,627,875.66
  5. Step 5: Solve for x
    x = 2,627,875.66/2,379.71
  6. Step 6: Final answer
    x = 1,104.28

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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.