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Finding the Fourth Proportional to 2,708.72, 3,737.97 and 1,529.76

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Solution

The fourth proportional to 2,708.72, 3,737.97 and 1,529.76 is: 2,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.72 : 3,737.97 = 1,529.76 : x
  2. Step 2: Convert to fraction form
    2,708.72/3,737.97 = 1,529.76/x
  3. Step 3: Cross multiply
    2,708.72x = 3,737.97 × 1,529.76
  4. Step 4: Simplify right side
    2,708.72x = 5,718,196.99
  5. Step 5: Solve for x
    x = 5,718,196.99/2,708.72
  6. Step 6: Final answer
    x = 2,111.03

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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.