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Finding the Fourth Proportional to 3,011.20, 4,516.16 and 1,451.20

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Solution

The fourth proportional to 3,011.20, 4,516.16 and 1,451.20 is: 2,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.20 : 4,516.16 = 1,451.20 : x
  2. Step 2: Convert to fraction form
    3,011.20/4,516.16 = 1,451.20/x
  3. Step 3: Cross multiply
    3,011.20x = 4,516.16 × 1,451.20
  4. Step 4: Simplify right side
    3,011.20x = 6,553,851.39
  5. Step 5: Solve for x
    x = 6,553,851.39/3,011.20
  6. Step 6: Final answer
    x = 2,176.49

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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.