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Finding the Fourth Proportional to 1,637.82, 2,260.71 and 1,049.94

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Solution

The fourth proportional to 1,637.82, 2,260.71 and 1,049.94 is: 1,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.82 : 2,260.71 = 1,049.94 : x
  2. Step 2: Convert to fraction form
    1,637.82/2,260.71 = 1,049.94/x
  3. Step 3: Cross multiply
    1,637.82x = 2,260.71 × 1,049.94
  4. Step 4: Simplify right side
    1,637.82x = 2,373,609.86
  5. Step 5: Solve for x
    x = 2,373,609.86/1,637.82
  6. Step 6: Final answer
    x = 1,449.25

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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.