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Finding the Fourth Proportional to 1,599.28, 2,401.52 and 986.87

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Solution

The fourth proportional to 1,599.28, 2,401.52 and 986.87 is: 1,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.28 : 2,401.52 = 986.87 : x
  2. Step 2: Convert to fraction form
    1,599.28/2,401.52 = 986.87/x
  3. Step 3: Cross multiply
    1,599.28x = 2,401.52 × 986.87
  4. Step 4: Simplify right side
    1,599.28x = 2,369,983.11
  5. Step 5: Solve for x
    x = 2,369,983.11/1,599.28
  6. Step 6: Final answer
    x = 1,481.91

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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.