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Finding the Fourth Proportional to 2,213.24, 3,322.02 and 1,807.16

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Solution

The fourth proportional to 2,213.24, 3,322.02 and 1,807.16 is: 2,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.24 : 3,322.02 = 1,807.16 : x
  2. Step 2: Convert to fraction form
    2,213.24/3,322.02 = 1,807.16/x
  3. Step 3: Cross multiply
    2,213.24x = 3,322.02 × 1,807.16
  4. Step 4: Simplify right side
    2,213.24x = 6,003,421.66
  5. Step 5: Solve for x
    x = 6,003,421.66/2,213.24
  6. Step 6: Final answer
    x = 2,712.50

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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.