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Finding the Fourth Proportional to 2,063.98, 2,847.36 and 1,179.46

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Solution

The fourth proportional to 2,063.98, 2,847.36 and 1,179.46 is: 1,627.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.98 : 2,847.36 = 1,179.46 : x
  2. Step 2: Convert to fraction form
    2,063.98/2,847.36 = 1,179.46/x
  3. Step 3: Cross multiply
    2,063.98x = 2,847.36 × 1,179.46
  4. Step 4: Simplify right side
    2,063.98x = 3,358,347.23
  5. Step 5: Solve for x
    x = 3,358,347.23/2,063.98
  6. Step 6: Final answer
    x = 1,627.12

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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.