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Finding the Fourth Proportional to 2,605.24, 3,908.50 and 1,199

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Solution

The fourth proportional to 2,605.24, 3,908.50 and 1,199 is: 1,798.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.24 : 3,908.50 = 1,199 : x
  2. Step 2: Convert to fraction form
    2,605.24/3,908.50 = 1,199/x
  3. Step 3: Cross multiply
    2,605.24x = 3,908.50 × 1,199
  4. Step 4: Simplify right side
    2,605.24x = 4,686,291.50
  5. Step 5: Solve for x
    x = 4,686,291.50/2,605.24
  6. Step 6: Final answer
    x = 1,798.79

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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.