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Finding the Fourth Proportional to 1,921.66, 2,651.72 and 1,257.46

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Solution

The fourth proportional to 1,921.66, 2,651.72 and 1,257.46 is: 1,735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.66 : 2,651.72 = 1,257.46 : x
  2. Step 2: Convert to fraction form
    1,921.66/2,651.72 = 1,257.46/x
  3. Step 3: Cross multiply
    1,921.66x = 2,651.72 × 1,257.46
  4. Step 4: Simplify right side
    1,921.66x = 3,334,431.83
  5. Step 5: Solve for x
    x = 3,334,431.83/1,921.66
  6. Step 6: Final answer
    x = 1,735.18

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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.