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Finding the Fourth Proportional to 2,404.50, 3,604.55 and 865.14

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Solution

The fourth proportional to 2,404.50, 3,604.55 and 865.14 is: 1,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.50 : 3,604.55 = 865.14 : x
  2. Step 2: Convert to fraction form
    2,404.50/3,604.55 = 865.14/x
  3. Step 3: Cross multiply
    2,404.50x = 3,604.55 × 865.14
  4. Step 4: Simplify right side
    2,404.50x = 3,118,436.06
  5. Step 5: Solve for x
    x = 3,118,436.06/2,404.50
  6. Step 6: Final answer
    x = 1,296.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.