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Finding the Fourth Proportional to 2,686.14, 3,706.91 and 1,742.31

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Solution

The fourth proportional to 2,686.14, 3,706.91 and 1,742.31 is: 2,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.14 : 3,706.91 = 1,742.31 : x
  2. Step 2: Convert to fraction form
    2,686.14/3,706.91 = 1,742.31/x
  3. Step 3: Cross multiply
    2,686.14x = 3,706.91 × 1,742.31
  4. Step 4: Simplify right side
    2,686.14x = 6,458,586.36
  5. Step 5: Solve for x
    x = 6,458,586.36/2,686.14
  6. Step 6: Final answer
    x = 2,404.41

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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.