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Finding the Fourth Proportional to 2,529.15, 3,792.90 and 969.07

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Solution

The fourth proportional to 2,529.15, 3,792.90 and 969.07 is: 1,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.15 : 3,792.90 = 969.07 : x
  2. Step 2: Convert to fraction form
    2,529.15/3,792.90 = 969.07/x
  3. Step 3: Cross multiply
    2,529.15x = 3,792.90 × 969.07
  4. Step 4: Simplify right side
    2,529.15x = 3,675,564.22
  5. Step 5: Solve for x
    x = 3,675,564.22/2,529.15
  6. Step 6: Final answer
    x = 1,453.28

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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.