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Finding the Fourth Proportional to 1,838.70, 2,537.80 and 1,131.14

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Solution

The fourth proportional to 1,838.70, 2,537.80 and 1,131.14 is: 1,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.70 : 2,537.80 = 1,131.14 : x
  2. Step 2: Convert to fraction form
    1,838.70/2,537.80 = 1,131.14/x
  3. Step 3: Cross multiply
    1,838.70x = 2,537.80 × 1,131.14
  4. Step 4: Simplify right side
    1,838.70x = 2,870,601.44
  5. Step 5: Solve for x
    x = 2,870,601.44/1,838.70
  6. Step 6: Final answer
    x = 1,561.22

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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.