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Finding the Fourth Proportional to 2,708.15, 3,737.26 and 1,466.15

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Solution

The fourth proportional to 2,708.15, 3,737.26 and 1,466.15 is: 2,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.15 : 3,737.26 = 1,466.15 : x
  2. Step 2: Convert to fraction form
    2,708.15/3,737.26 = 1,466.15/x
  3. Step 3: Cross multiply
    2,708.15x = 3,737.26 × 1,466.15
  4. Step 4: Simplify right side
    2,708.15x = 5,479,383.75
  5. Step 5: Solve for x
    x = 5,479,383.75/2,708.15
  6. Step 6: Final answer
    x = 2,023.29

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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.