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Finding the Fourth Proportional to 2,774.02, 3,824.17 and 1,711.07

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Solution

The fourth proportional to 2,774.02, 3,824.17 and 1,711.07 is: 2,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.02 : 3,824.17 = 1,711.07 : x
  2. Step 2: Convert to fraction form
    2,774.02/3,824.17 = 1,711.07/x
  3. Step 3: Cross multiply
    2,774.02x = 3,824.17 × 1,711.07
  4. Step 4: Simplify right side
    2,774.02x = 6,543,447.05
  5. Step 5: Solve for x
    x = 6,543,447.05/2,774.02
  6. Step 6: Final answer
    x = 2,358.83

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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.