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Finding the Fourth Proportional to 2,773.92, 3,828.38 and 1,594.77

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Solution

The fourth proportional to 2,773.92, 3,828.38 and 1,594.77 is: 2,200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.92 : 3,828.38 = 1,594.77 : x
  2. Step 2: Convert to fraction form
    2,773.92/3,828.38 = 1,594.77/x
  3. Step 3: Cross multiply
    2,773.92x = 3,828.38 × 1,594.77
  4. Step 4: Simplify right side
    2,773.92x = 6,105,377.60
  5. Step 5: Solve for x
    x = 6,105,377.60/2,773.92
  6. Step 6: Final answer
    x = 2,200.99

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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.