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Finding the Fourth Proportional to 2,529.77, 3,792.92 and 1,296.18

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Solution

The fourth proportional to 2,529.77, 3,792.92 and 1,296.18 is: 1,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.77 : 3,792.92 = 1,296.18 : x
  2. Step 2: Convert to fraction form
    2,529.77/3,792.92 = 1,296.18/x
  3. Step 3: Cross multiply
    2,529.77x = 3,792.92 × 1,296.18
  4. Step 4: Simplify right side
    2,529.77x = 4,916,300.56
  5. Step 5: Solve for x
    x = 4,916,300.56/2,529.77
  6. Step 6: Final answer
    x = 1,943.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.