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Finding the Fourth Proportional to 2,322.50, 3,475.43 and 2,011.22

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Solution

The fourth proportional to 2,322.50, 3,475.43 and 2,011.22 is: 3,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.50 : 3,475.43 = 2,011.22 : x
  2. Step 2: Convert to fraction form
    2,322.50/3,475.43 = 2,011.22/x
  3. Step 3: Cross multiply
    2,322.50x = 3,475.43 × 2,011.22
  4. Step 4: Simplify right side
    2,322.50x = 6,989,844.27
  5. Step 5: Solve for x
    x = 6,989,844.27/2,322.50
  6. Step 6: Final answer
    x = 3,009.62

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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.