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Finding the Fourth Proportional to 2,773.44, 3,827.64 and 1,711.14

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Solution

The fourth proportional to 2,773.44, 3,827.64 and 1,711.14 is: 2,361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.44 : 3,827.64 = 1,711.14 : x
  2. Step 2: Convert to fraction form
    2,773.44/3,827.64 = 1,711.14/x
  3. Step 3: Cross multiply
    2,773.44x = 3,827.64 × 1,711.14
  4. Step 4: Simplify right side
    2,773.44x = 6,549,627.91
  5. Step 5: Solve for x
    x = 6,549,627.91/2,773.44
  6. Step 6: Final answer
    x = 2,361.55

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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.