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Finding the Fourth Proportional to 2,098.31, 2,894.33 and 1,599.89

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Solution

The fourth proportional to 2,098.31, 2,894.33 and 1,599.89 is: 2,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.31 : 2,894.33 = 1,599.89 : x
  2. Step 2: Convert to fraction form
    2,098.31/2,894.33 = 1,599.89/x
  3. Step 3: Cross multiply
    2,098.31x = 2,894.33 × 1,599.89
  4. Step 4: Simplify right side
    2,098.31x = 4,630,599.15
  5. Step 5: Solve for x
    x = 4,630,599.15/2,098.31
  6. Step 6: Final answer
    x = 2,206.83

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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.