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Finding the Fourth Proportional to 3,027.41, 4,178.41 and 1,701.12

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Solution

The fourth proportional to 3,027.41, 4,178.41 and 1,701.12 is: 2,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.41 : 4,178.41 = 1,701.12 : x
  2. Step 2: Convert to fraction form
    3,027.41/4,178.41 = 1,701.12/x
  3. Step 3: Cross multiply
    3,027.41x = 4,178.41 × 1,701.12
  4. Step 4: Simplify right side
    3,027.41x = 7,107,969.03
  5. Step 5: Solve for x
    x = 7,107,969.03/3,027.41
  6. Step 6: Final answer
    x = 2,347.87

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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.