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Finding the Fourth Proportional to 2,464.59, 3,698.50 and 1,165.35

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Solution

The fourth proportional to 2,464.59, 3,698.50 and 1,165.35 is: 1,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.59 : 3,698.50 = 1,165.35 : x
  2. Step 2: Convert to fraction form
    2,464.59/3,698.50 = 1,165.35/x
  3. Step 3: Cross multiply
    2,464.59x = 3,698.50 × 1,165.35
  4. Step 4: Simplify right side
    2,464.59x = 4,310,046.98
  5. Step 5: Solve for x
    x = 4,310,046.98/2,464.59
  6. Step 6: Final answer
    x = 1,748.79

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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.