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Finding the Fourth Proportional to 3,301.56, 4,950.99 and 1,427.56

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Solution

The fourth proportional to 3,301.56, 4,950.99 and 1,427.56 is: 2,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.56 : 4,950.99 = 1,427.56 : x
  2. Step 2: Convert to fraction form
    3,301.56/4,950.99 = 1,427.56/x
  3. Step 3: Cross multiply
    3,301.56x = 4,950.99 × 1,427.56
  4. Step 4: Simplify right side
    3,301.56x = 7,067,822.91
  5. Step 5: Solve for x
    x = 7,067,822.91/3,301.56
  6. Step 6: Final answer
    x = 2,140.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.