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Finding the Fourth Proportional to 3,000.92, 4,502.46 and 2,177.80

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Solution

The fourth proportional to 3,000.92, 4,502.46 and 2,177.80 is: 3,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.92 : 4,502.46 = 2,177.80 : x
  2. Step 2: Convert to fraction form
    3,000.92/4,502.46 = 2,177.80/x
  3. Step 3: Cross multiply
    3,000.92x = 4,502.46 × 2,177.80
  4. Step 4: Simplify right side
    3,000.92x = 9,805,457.39
  5. Step 5: Solve for x
    x = 9,805,457.39/3,000.92
  6. Step 6: Final answer
    x = 3,267.48

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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.