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Finding the Fourth Proportional to 2,464.11, 3,695.10 and 797.74

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Solution

The fourth proportional to 2,464.11, 3,695.10 and 797.74 is: 1,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.11 : 3,695.10 = 797.74 : x
  2. Step 2: Convert to fraction form
    2,464.11/3,695.10 = 797.74/x
  3. Step 3: Cross multiply
    2,464.11x = 3,695.10 × 797.74
  4. Step 4: Simplify right side
    2,464.11x = 2,947,729.07
  5. Step 5: Solve for x
    x = 2,947,729.07/2,464.11
  6. Step 6: Final answer
    x = 1,196.27

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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.