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Finding the Fourth Proportional to 2,708.29, 3,737.43 and 1,466.29

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Solution

The fourth proportional to 2,708.29, 3,737.43 and 1,466.29 is: 2,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.29 : 3,737.43 = 1,466.29 : x
  2. Step 2: Convert to fraction form
    2,708.29/3,737.43 = 1,466.29/x
  3. Step 3: Cross multiply
    2,708.29x = 3,737.43 × 1,466.29
  4. Step 4: Simplify right side
    2,708.29x = 5,480,137.55
  5. Step 5: Solve for x
    x = 5,480,137.55/2,708.29
  6. Step 6: Final answer
    x = 2,023.47

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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.