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Finding the Fourth Proportional to 1,901.93, 2,852.89 and 1,385.22

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Solution

The fourth proportional to 1,901.93, 2,852.89 and 1,385.22 is: 2,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.93 : 2,852.89 = 1,385.22 : x
  2. Step 2: Convert to fraction form
    1,901.93/2,852.89 = 1,385.22/x
  3. Step 3: Cross multiply
    1,901.93x = 2,852.89 × 1,385.22
  4. Step 4: Simplify right side
    1,901.93x = 3,951,876.62
  5. Step 5: Solve for x
    x = 3,951,876.62/1,901.93
  6. Step 6: Final answer
    x = 2,077.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.