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Finding the Fourth Proportional to 2,883.26, 4,329.18 and 2,357.78

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Solution

The fourth proportional to 2,883.26, 4,329.18 and 2,357.78 is: 3,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.26 : 4,329.18 = 2,357.78 : x
  2. Step 2: Convert to fraction form
    2,883.26/4,329.18 = 2,357.78/x
  3. Step 3: Cross multiply
    2,883.26x = 4,329.18 × 2,357.78
  4. Step 4: Simplify right side
    2,883.26x = 10,207,232.37
  5. Step 5: Solve for x
    x = 10,207,232.37/2,883.26
  6. Step 6: Final answer
    x = 3,540.17

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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.