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Finding the Fourth Proportional to 3,028.62, 4,542.87 and 948.63

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Solution

The fourth proportional to 3,028.62, 4,542.87 and 948.63 is: 1,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.62 : 4,542.87 = 948.63 : x
  2. Step 2: Convert to fraction form
    3,028.62/4,542.87 = 948.63/x
  3. Step 3: Cross multiply
    3,028.62x = 4,542.87 × 948.63
  4. Step 4: Simplify right side
    3,028.62x = 4,309,502.77
  5. Step 5: Solve for x
    x = 4,309,502.77/3,028.62
  6. Step 6: Final answer
    x = 1,422.93

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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.