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Finding the Fourth Proportional to 2,404.12, 3,607.64 and 865.24

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Solution

The fourth proportional to 2,404.12, 3,607.64 and 865.24 is: 1,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.12 : 3,607.64 = 865.24 : x
  2. Step 2: Convert to fraction form
    2,404.12/3,607.64 = 865.24/x
  3. Step 3: Cross multiply
    2,404.12x = 3,607.64 × 865.24
  4. Step 4: Simplify right side
    2,404.12x = 3,121,474.43
  5. Step 5: Solve for x
    x = 3,121,474.43/2,404.12
  6. Step 6: Final answer
    x = 1,298.39

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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.