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Finding the Fourth Proportional to 1,638.42, 2,260.99 and 939.74

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Solution

The fourth proportional to 1,638.42, 2,260.99 and 939.74 is: 1,296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.42 : 2,260.99 = 939.74 : x
  2. Step 2: Convert to fraction form
    1,638.42/2,260.99 = 939.74/x
  3. Step 3: Cross multiply
    1,638.42x = 2,260.99 × 939.74
  4. Step 4: Simplify right side
    1,638.42x = 2,124,742.74
  5. Step 5: Solve for x
    x = 2,124,742.74/1,638.42
  6. Step 6: Final answer
    x = 1,296.82

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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.