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Finding the Fourth Proportional to 2,400.16, 3,597.84 and 1,013.84

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Solution

The fourth proportional to 2,400.16, 3,597.84 and 1,013.84 is: 1,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.16 : 3,597.84 = 1,013.84 : x
  2. Step 2: Convert to fraction form
    2,400.16/3,597.84 = 1,013.84/x
  3. Step 3: Cross multiply
    2,400.16x = 3,597.84 × 1,013.84
  4. Step 4: Simplify right side
    2,400.16x = 3,647,634.11
  5. Step 5: Solve for x
    x = 3,647,634.11/2,400.16
  6. Step 6: Final answer
    x = 1,519.75

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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.