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Finding the Fourth Proportional to 2,011.57, 3,014.57 and 1,451.81

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Solution

The fourth proportional to 2,011.57, 3,014.57 and 1,451.81 is: 2,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.57 : 3,014.57 = 1,451.81 : x
  2. Step 2: Convert to fraction form
    2,011.57/3,014.57 = 1,451.81/x
  3. Step 3: Cross multiply
    2,011.57x = 3,014.57 × 1,451.81
  4. Step 4: Simplify right side
    2,011.57x = 4,376,594.04
  5. Step 5: Solve for x
    x = 4,376,594.04/2,011.57
  6. Step 6: Final answer
    x = 2,175.71

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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.