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Finding the Fourth Proportional to 2,774.05, 3,824.77 and 1,724.29

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Solution

The fourth proportional to 2,774.05, 3,824.77 and 1,724.29 is: 2,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.05 : 3,824.77 = 1,724.29 : x
  2. Step 2: Convert to fraction form
    2,774.05/3,824.77 = 1,724.29/x
  3. Step 3: Cross multiply
    2,774.05x = 3,824.77 × 1,724.29
  4. Step 4: Simplify right side
    2,774.05x = 6,595,012.66
  5. Step 5: Solve for x
    x = 6,595,012.66/2,774.05
  6. Step 6: Final answer
    x = 2,377.40

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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.