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Finding the Fourth Proportional to 3,293.82, 4,941.42 and 954.20

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Solution

The fourth proportional to 3,293.82, 4,941.42 and 954.20 is: 1,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.82 : 4,941.42 = 954.20 : x
  2. Step 2: Convert to fraction form
    3,293.82/4,941.42 = 954.20/x
  3. Step 3: Cross multiply
    3,293.82x = 4,941.42 × 954.20
  4. Step 4: Simplify right side
    3,293.82x = 4,715,102.96
  5. Step 5: Solve for x
    x = 4,715,102.96/3,293.82
  6. Step 6: Final answer
    x = 1,431.50

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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.