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Finding the Fourth Proportional to 2,157.50, 3,236.92 and 1,500.06

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Solution

The fourth proportional to 2,157.50, 3,236.92 and 1,500.06 is: 2,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.50 : 3,236.92 = 1,500.06 : x
  2. Step 2: Convert to fraction form
    2,157.50/3,236.92 = 1,500.06/x
  3. Step 3: Cross multiply
    2,157.50x = 3,236.92 × 1,500.06
  4. Step 4: Simplify right side
    2,157.50x = 4,855,574.22
  5. Step 5: Solve for x
    x = 4,855,574.22/2,157.50
  6. Step 6: Final answer
    x = 2,250.56

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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.