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Finding the Fourth Proportional to 1,599.89, 2,400.17 and 674.87

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Solution

The fourth proportional to 1,599.89, 2,400.17 and 674.87 is: 1,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.89 : 2,400.17 = 674.87 : x
  2. Step 2: Convert to fraction form
    1,599.89/2,400.17 = 674.87/x
  3. Step 3: Cross multiply
    1,599.89x = 2,400.17 × 674.87
  4. Step 4: Simplify right side
    1,599.89x = 1,619,787.35
  5. Step 5: Solve for x
    x = 1,619,787.35/1,599.89
  6. Step 6: Final answer
    x = 1,012.44

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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.