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Finding the Fourth Proportional to 3,000.97, 4,501.71 and 809.83

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Solution

The fourth proportional to 3,000.97, 4,501.71 and 809.83 is: 1,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.97 : 4,501.71 = 809.83 : x
  2. Step 2: Convert to fraction form
    3,000.97/4,501.71 = 809.83/x
  3. Step 3: Cross multiply
    3,000.97x = 4,501.71 × 809.83
  4. Step 4: Simplify right side
    3,000.97x = 3,645,619.81
  5. Step 5: Solve for x
    x = 3,645,619.81/3,000.97
  6. Step 6: Final answer
    x = 1,214.81

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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.