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Finding the Fourth Proportional to 2,150.66, 2,966.24 and 1,442.27

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Solution

The fourth proportional to 2,150.66, 2,966.24 and 1,442.27 is: 1,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.66 : 2,966.24 = 1,442.27 : x
  2. Step 2: Convert to fraction form
    2,150.66/2,966.24 = 1,442.27/x
  3. Step 3: Cross multiply
    2,150.66x = 2,966.24 × 1,442.27
  4. Step 4: Simplify right side
    2,150.66x = 4,278,129.99
  5. Step 5: Solve for x
    x = 4,278,129.99/2,150.66
  6. Step 6: Final answer
    x = 1,989.21

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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.