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Finding the Fourth Proportional to 2,433.45, 3,649.42 and 1,600.47

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Solution

The fourth proportional to 2,433.45, 3,649.42 and 1,600.47 is: 2,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.45 : 3,649.42 = 1,600.47 : x
  2. Step 2: Convert to fraction form
    2,433.45/3,649.42 = 1,600.47/x
  3. Step 3: Cross multiply
    2,433.45x = 3,649.42 × 1,600.47
  4. Step 4: Simplify right side
    2,433.45x = 5,840,787.23
  5. Step 5: Solve for x
    x = 5,840,787.23/2,433.45
  6. Step 6: Final answer
    x = 2,400.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.