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Finding the Fourth Proportional to 2,098.23, 2,894.02 and 1,599.67

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Solution

The fourth proportional to 2,098.23, 2,894.02 and 1,599.67 is: 2,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.23 : 2,894.02 = 1,599.67 : x
  2. Step 2: Convert to fraction form
    2,098.23/2,894.02 = 1,599.67/x
  3. Step 3: Cross multiply
    2,098.23x = 2,894.02 × 1,599.67
  4. Step 4: Simplify right side
    2,098.23x = 4,629,476.97
  5. Step 5: Solve for x
    x = 4,629,476.97/2,098.23
  6. Step 6: Final answer
    x = 2,206.37

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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.