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Finding the Fourth Proportional to 2,969.90, 4,098.61 and 1,711.16

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Solution

The fourth proportional to 2,969.90, 4,098.61 and 1,711.16 is: 2,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.90 : 4,098.61 = 1,711.16 : x
  2. Step 2: Convert to fraction form
    2,969.90/4,098.61 = 1,711.16/x
  3. Step 3: Cross multiply
    2,969.90x = 4,098.61 × 1,711.16
  4. Step 4: Simplify right side
    2,969.90x = 7,013,352.72
  5. Step 5: Solve for x
    x = 7,013,352.72/2,969.90
  6. Step 6: Final answer
    x = 2,361.48

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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.