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Finding the Fourth Proportional to 2,834.71, 4,252.02 and 2,055.08

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Solution

The fourth proportional to 2,834.71, 4,252.02 and 2,055.08 is: 3,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.71 : 4,252.02 = 2,055.08 : x
  2. Step 2: Convert to fraction form
    2,834.71/4,252.02 = 2,055.08/x
  3. Step 3: Cross multiply
    2,834.71x = 4,252.02 × 2,055.08
  4. Step 4: Simplify right side
    2,834.71x = 8,738,241.26
  5. Step 5: Solve for x
    x = 8,738,241.26/2,834.71
  6. Step 6: Final answer
    x = 3,082.59

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Why These Related Problems?

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