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Finding the Fourth Proportional to 2,400.98, 3,599.49 and 756.50

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Solution

The fourth proportional to 2,400.98, 3,599.49 and 756.50 is: 1,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.98 : 3,599.49 = 756.50 : x
  2. Step 2: Convert to fraction form
    2,400.98/3,599.49 = 756.50/x
  3. Step 3: Cross multiply
    2,400.98x = 3,599.49 × 756.50
  4. Step 4: Simplify right side
    2,400.98x = 2,723,014.19
  5. Step 5: Solve for x
    x = 2,723,014.19/2,400.98
  6. Step 6: Final answer
    x = 1,134.13

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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.