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Finding the Fourth Proportional to 1,908.74, 2,633.27 and 1,162.58

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Solution

The fourth proportional to 1,908.74, 2,633.27 and 1,162.58 is: 1,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.74 : 2,633.27 = 1,162.58 : x
  2. Step 2: Convert to fraction form
    1,908.74/2,633.27 = 1,162.58/x
  3. Step 3: Cross multiply
    1,908.74x = 2,633.27 × 1,162.58
  4. Step 4: Simplify right side
    1,908.74x = 3,061,368.06
  5. Step 5: Solve for x
    x = 3,061,368.06/1,908.74
  6. Step 6: Final answer
    x = 1,603.87

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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.