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Finding the Fourth Proportional to 1,921.32, 2,650.50 and 1,257.88

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Solution

The fourth proportional to 1,921.32, 2,650.50 and 1,257.88 is: 1,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.32 : 2,650.50 = 1,257.88 : x
  2. Step 2: Convert to fraction form
    1,921.32/2,650.50 = 1,257.88/x
  3. Step 3: Cross multiply
    1,921.32x = 2,650.50 × 1,257.88
  4. Step 4: Simplify right side
    1,921.32x = 3,334,010.94
  5. Step 5: Solve for x
    x = 3,334,010.94/1,921.32
  6. Step 6: Final answer
    x = 1,735.27

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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.