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Finding the Fourth Proportional to 2,834.84, 3,909.91 and 2,516.14

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Solution

The fourth proportional to 2,834.84, 3,909.91 and 2,516.14 is: 3,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.84 : 3,909.91 = 2,516.14 : x
  2. Step 2: Convert to fraction form
    2,834.84/3,909.91 = 2,516.14/x
  3. Step 3: Cross multiply
    2,834.84x = 3,909.91 × 2,516.14
  4. Step 4: Simplify right side
    2,834.84x = 9,837,884.26
  5. Step 5: Solve for x
    x = 9,837,884.26/2,834.84
  6. Step 6: Final answer
    x = 3,470.35

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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.