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Finding the Fourth Proportional to 1,599.17, 2,206.79 and 890.98

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Solution

The fourth proportional to 1,599.17, 2,206.79 and 890.98 is: 1,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.17 : 2,206.79 = 890.98 : x
  2. Step 2: Convert to fraction form
    1,599.17/2,206.79 = 890.98/x
  3. Step 3: Cross multiply
    1,599.17x = 2,206.79 × 890.98
  4. Step 4: Simplify right side
    1,599.17x = 1,966,195.78
  5. Step 5: Solve for x
    x = 1,966,195.78/1,599.17
  6. Step 6: Final answer
    x = 1,229.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.