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Finding the Fourth Proportional to 2,134.92, 3,184.64 and 2,100.92

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Solution

The fourth proportional to 2,134.92, 3,184.64 and 2,100.92 is: 3,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.92 : 3,184.64 = 2,100.92 : x
  2. Step 2: Convert to fraction form
    2,134.92/3,184.64 = 2,100.92/x
  3. Step 3: Cross multiply
    2,134.92x = 3,184.64 × 2,100.92
  4. Step 4: Simplify right side
    2,134.92x = 6,690,673.87
  5. Step 5: Solve for x
    x = 6,690,673.87/2,134.92
  6. Step 6: Final answer
    x = 3,133.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.