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Finding the Fourth Proportional to 2,773.73, 3,827.59 and 1,624.27

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Solution

The fourth proportional to 2,773.73, 3,827.59 and 1,624.27 is: 2,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.73 : 3,827.59 = 1,624.27 : x
  2. Step 2: Convert to fraction form
    2,773.73/3,827.59 = 1,624.27/x
  3. Step 3: Cross multiply
    2,773.73x = 3,827.59 × 1,624.27
  4. Step 4: Simplify right side
    2,773.73x = 6,217,025.98
  5. Step 5: Solve for x
    x = 6,217,025.98/2,773.73
  6. Step 6: Final answer
    x = 2,241.40

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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.