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Finding the Fourth Proportional to 2,400.50, 3,600.75 and 576.50

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Solution

The fourth proportional to 2,400.50, 3,600.75 and 576.50 is: 864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.50 : 3,600.75 = 576.50 : x
  2. Step 2: Convert to fraction form
    2,400.50/3,600.75 = 576.50/x
  3. Step 3: Cross multiply
    2,400.50x = 3,600.75 × 576.50
  4. Step 4: Simplify right side
    2,400.50x = 2,075,832.38
  5. Step 5: Solve for x
    x = 2,075,832.38/2,400.50
  6. Step 6: Final answer
    x = 864.75

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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.