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Finding the Fourth Proportional to 3,026.75, 4,540.85 and 974.75

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Solution

The fourth proportional to 3,026.75, 4,540.85 and 974.75 is: 1,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.75 : 4,540.85 = 974.75 : x
  2. Step 2: Convert to fraction form
    3,026.75/4,540.85 = 974.75/x
  3. Step 3: Cross multiply
    3,026.75x = 4,540.85 × 974.75
  4. Step 4: Simplify right side
    3,026.75x = 4,426,193.54
  5. Step 5: Solve for x
    x = 4,426,193.54/3,026.75
  6. Step 6: Final answer
    x = 1,462.36

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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.