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Finding the Fourth Proportional to 2,703.70, 3,732.30 and 1,994.32

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Solution

The fourth proportional to 2,703.70, 3,732.30 and 1,994.32 is: 2,753.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.70 : 3,732.30 = 1,994.32 : x
  2. Step 2: Convert to fraction form
    2,703.70/3,732.30 = 1,994.32/x
  3. Step 3: Cross multiply
    2,703.70x = 3,732.30 × 1,994.32
  4. Step 4: Simplify right side
    2,703.70x = 7,443,400.54
  5. Step 5: Solve for x
    x = 7,443,400.54/2,703.70
  6. Step 6: Final answer
    x = 2,753.04

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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.