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Finding the Fourth Proportional to 1,941.14, 2,911.17 and 642.44

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Solution

The fourth proportional to 1,941.14, 2,911.17 and 642.44 is: 963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.14 : 2,911.17 = 642.44 : x
  2. Step 2: Convert to fraction form
    1,941.14/2,911.17 = 642.44/x
  3. Step 3: Cross multiply
    1,941.14x = 2,911.17 × 642.44
  4. Step 4: Simplify right side
    1,941.14x = 1,870,252.05
  5. Step 5: Solve for x
    x = 1,870,252.05/1,941.14
  6. Step 6: Final answer
    x = 963.48

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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.