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Finding the Fourth Proportional to 1,601.78, 2,207.96 and 1,263.40

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Solution

The fourth proportional to 1,601.78, 2,207.96 and 1,263.40 is: 1,741.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.78 : 2,207.96 = 1,263.40 : x
  2. Step 2: Convert to fraction form
    1,601.78/2,207.96 = 1,263.40/x
  3. Step 3: Cross multiply
    1,601.78x = 2,207.96 × 1,263.40
  4. Step 4: Simplify right side
    1,601.78x = 2,789,529.56
  5. Step 5: Solve for x
    x = 2,789,529.56/1,601.78
  6. Step 6: Final answer
    x = 1,741.52

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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.