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Finding the Fourth Proportional to 2,365.33, 3,543.15 and 1,193.69

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Solution

The fourth proportional to 2,365.33, 3,543.15 and 1,193.69 is: 1,788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.33 : 3,543.15 = 1,193.69 : x
  2. Step 2: Convert to fraction form
    2,365.33/3,543.15 = 1,193.69/x
  3. Step 3: Cross multiply
    2,365.33x = 3,543.15 × 1,193.69
  4. Step 4: Simplify right side
    2,365.33x = 4,229,422.72
  5. Step 5: Solve for x
    x = 4,229,422.72/2,365.33
  6. Step 6: Final answer
    x = 1,788.09

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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.