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Finding the Fourth Proportional to 2,404.69, 3,606.48 and 865.69

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Solution

The fourth proportional to 2,404.69, 3,606.48 and 865.69 is: 1,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.69 : 3,606.48 = 865.69 : x
  2. Step 2: Convert to fraction form
    2,404.69/3,606.48 = 865.69/x
  3. Step 3: Cross multiply
    2,404.69x = 3,606.48 × 865.69
  4. Step 4: Simplify right side
    2,404.69x = 3,122,084.66
  5. Step 5: Solve for x
    x = 3,122,084.66/2,404.69
  6. Step 6: Final answer
    x = 1,298.33

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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.