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Finding the Fourth Proportional to 1,859.66, 2,789.24 and 627.14

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Solution

The fourth proportional to 1,859.66, 2,789.24 and 627.14 is: 940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.66 : 2,789.24 = 627.14 : x
  2. Step 2: Convert to fraction form
    1,859.66/2,789.24 = 627.14/x
  3. Step 3: Cross multiply
    1,859.66x = 2,789.24 × 627.14
  4. Step 4: Simplify right side
    1,859.66x = 1,749,247.81
  5. Step 5: Solve for x
    x = 1,749,247.81/1,859.66
  6. Step 6: Final answer
    x = 940.63

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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.