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Finding the Fourth Proportional to 2,063.71, 2,848.42 and 1,180.03

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Solution

The fourth proportional to 2,063.71, 2,848.42 and 1,180.03 is: 1,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.71 : 2,848.42 = 1,180.03 : x
  2. Step 2: Convert to fraction form
    2,063.71/2,848.42 = 1,180.03/x
  3. Step 3: Cross multiply
    2,063.71x = 2,848.42 × 1,180.03
  4. Step 4: Simplify right side
    2,063.71x = 3,361,221.05
  5. Step 5: Solve for x
    x = 3,361,221.05/2,063.71
  6. Step 6: Final answer
    x = 1,628.73

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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.