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Finding the Fourth Proportional to 2,890.92, 4,337.07 and 943.13

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Solution

The fourth proportional to 2,890.92, 4,337.07 and 943.13 is: 1,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.92 : 4,337.07 = 943.13 : x
  2. Step 2: Convert to fraction form
    2,890.92/4,337.07 = 943.13/x
  3. Step 3: Cross multiply
    2,890.92x = 4,337.07 × 943.13
  4. Step 4: Simplify right side
    2,890.92x = 4,090,399.14
  5. Step 5: Solve for x
    x = 4,090,399.14/2,890.92
  6. Step 6: Final answer
    x = 1,414.91

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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.