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Finding the Fourth Proportional to 2,471.34, 3,703.82 and 1,850.16

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Solution

The fourth proportional to 2,471.34, 3,703.82 and 1,850.16 is: 2,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.34 : 3,703.82 = 1,850.16 : x
  2. Step 2: Convert to fraction form
    2,471.34/3,703.82 = 1,850.16/x
  3. Step 3: Cross multiply
    2,471.34x = 3,703.82 × 1,850.16
  4. Step 4: Simplify right side
    2,471.34x = 6,852,659.61
  5. Step 5: Solve for x
    x = 6,852,659.61/2,471.34
  6. Step 6: Final answer
    x = 2,772.85

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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.