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Finding the Fourth Proportional to 2,710.39, 3,742.14 and 1,664.26

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Solution

The fourth proportional to 2,710.39, 3,742.14 and 1,664.26 is: 2,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.39 : 3,742.14 = 1,664.26 : x
  2. Step 2: Convert to fraction form
    2,710.39/3,742.14 = 1,664.26/x
  3. Step 3: Cross multiply
    2,710.39x = 3,742.14 × 1,664.26
  4. Step 4: Simplify right side
    2,710.39x = 6,227,893.92
  5. Step 5: Solve for x
    x = 6,227,893.92/2,710.39
  6. Step 6: Final answer
    x = 2,297.79

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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.