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Finding the Fourth Proportional to 2,244.69, 3,365.71 and 858.13

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Solution

The fourth proportional to 2,244.69, 3,365.71 and 858.13 is: 1,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.69 : 3,365.71 = 858.13 : x
  2. Step 2: Convert to fraction form
    2,244.69/3,365.71 = 858.13/x
  3. Step 3: Cross multiply
    2,244.69x = 3,365.71 × 858.13
  4. Step 4: Simplify right side
    2,244.69x = 2,888,216.72
  5. Step 5: Solve for x
    x = 2,888,216.72/2,244.69
  6. Step 6: Final answer
    x = 1,286.69

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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.