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Finding the Fourth Proportional to 2,215.62, 3,309.21 and 2,011.50

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Solution

The fourth proportional to 2,215.62, 3,309.21 and 2,011.50 is: 3,004.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.62 : 3,309.21 = 2,011.50 : x
  2. Step 2: Convert to fraction form
    2,215.62/3,309.21 = 2,011.50/x
  3. Step 3: Cross multiply
    2,215.62x = 3,309.21 × 2,011.50
  4. Step 4: Simplify right side
    2,215.62x = 6,656,475.92
  5. Step 5: Solve for x
    x = 6,656,475.92/2,215.62
  6. Step 6: Final answer
    x = 3,004.34

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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.