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Finding the Fourth Proportional to 2,400.68, 3,600.84 and 1,433

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Solution

The fourth proportional to 2,400.68, 3,600.84 and 1,433 is: 2,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.68 : 3,600.84 = 1,433 : x
  2. Step 2: Convert to fraction form
    2,400.68/3,600.84 = 1,433/x
  3. Step 3: Cross multiply
    2,400.68x = 3,600.84 × 1,433
  4. Step 4: Simplify right side
    2,400.68x = 5,160,003.72
  5. Step 5: Solve for x
    x = 5,160,003.72/2,400.68
  6. Step 6: Final answer
    x = 2,149.39

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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.