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Finding the Fourth Proportional to 2,708.14, 3,737.23 and 1,466.14

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Solution

The fourth proportional to 2,708.14, 3,737.23 and 1,466.14 is: 2,023.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.14 : 3,737.23 = 1,466.14 : x
  2. Step 2: Convert to fraction form
    2,708.14/3,737.23 = 1,466.14/x
  3. Step 3: Cross multiply
    2,708.14x = 3,737.23 × 1,466.14
  4. Step 4: Simplify right side
    2,708.14x = 5,479,302.39
  5. Step 5: Solve for x
    x = 5,479,302.39/2,708.14
  6. Step 6: Final answer
    x = 2,023.27

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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.