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Finding the Fourth Proportional to 1,908.70, 2,633.96 and 1,112.16

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Solution

The fourth proportional to 1,908.70, 2,633.96 and 1,112.16 is: 1,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.70 : 2,633.96 = 1,112.16 : x
  2. Step 2: Convert to fraction form
    1,908.70/2,633.96 = 1,112.16/x
  3. Step 3: Cross multiply
    1,908.70x = 2,633.96 × 1,112.16
  4. Step 4: Simplify right side
    1,908.70x = 2,929,384.95
  5. Step 5: Solve for x
    x = 2,929,384.95/1,908.70
  6. Step 6: Final answer
    x = 1,534.75

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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.