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Finding the Fourth Proportional to 1,599.31, 2,206.88 and 1,179.89

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Solution

The fourth proportional to 1,599.31, 2,206.88 and 1,179.89 is: 1,628.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.31 : 2,206.88 = 1,179.89 : x
  2. Step 2: Convert to fraction form
    1,599.31/2,206.88 = 1,179.89/x
  3. Step 3: Cross multiply
    1,599.31x = 2,206.88 × 1,179.89
  4. Step 4: Simplify right side
    1,599.31x = 2,603,871.41
  5. Step 5: Solve for x
    x = 2,603,871.41/1,599.31
  6. Step 6: Final answer
    x = 1,628.12

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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.