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Finding the Fourth Proportional to 2,145.64, 3,219.10 and 1,233

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Solution

The fourth proportional to 2,145.64, 3,219.10 and 1,233 is: 1,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.64 : 3,219.10 = 1,233 : x
  2. Step 2: Convert to fraction form
    2,145.64/3,219.10 = 1,233/x
  3. Step 3: Cross multiply
    2,145.64x = 3,219.10 × 1,233
  4. Step 4: Simplify right side
    2,145.64x = 3,969,150.30
  5. Step 5: Solve for x
    x = 3,969,150.30/2,145.64
  6. Step 6: Final answer
    x = 1,849.87

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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.