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Finding the Fourth Proportional to 2,822.81, 4,234.14 and 1,574.15

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Solution

The fourth proportional to 2,822.81, 4,234.14 and 1,574.15 is: 2,361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.81 : 4,234.14 = 1,574.15 : x
  2. Step 2: Convert to fraction form
    2,822.81/4,234.14 = 1,574.15/x
  3. Step 3: Cross multiply
    2,822.81x = 4,234.14 × 1,574.15
  4. Step 4: Simplify right side
    2,822.81x = 6,665,150.31
  5. Step 5: Solve for x
    x = 6,665,150.31/2,822.81
  6. Step 6: Final answer
    x = 2,361.18

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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.