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Finding the Fourth Proportional to 2,138.67, 2,950.56 and 1,299.06

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Solution

The fourth proportional to 2,138.67, 2,950.56 and 1,299.06 is: 1,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.67 : 2,950.56 = 1,299.06 : x
  2. Step 2: Convert to fraction form
    2,138.67/2,950.56 = 1,299.06/x
  3. Step 3: Cross multiply
    2,138.67x = 2,950.56 × 1,299.06
  4. Step 4: Simplify right side
    2,138.67x = 3,832,954.47
  5. Step 5: Solve for x
    x = 3,832,954.47/2,138.67
  6. Step 6: Final answer
    x = 1,792.21

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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.