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Finding the Fourth Proportional to 2,911.71, 4,014.05 and 2,072.09

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Solution

The fourth proportional to 2,911.71, 4,014.05 and 2,072.09 is: 2,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.71 : 4,014.05 = 2,072.09 : x
  2. Step 2: Convert to fraction form
    2,911.71/4,014.05 = 2,072.09/x
  3. Step 3: Cross multiply
    2,911.71x = 4,014.05 × 2,072.09
  4. Step 4: Simplify right side
    2,911.71x = 8,317,442.43
  5. Step 5: Solve for x
    x = 8,317,442.43/2,911.71
  6. Step 6: Final answer
    x = 2,856.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.