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Finding the Fourth Proportional to 2,652.46, 3,660.24 and 1,533.22

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Solution

The fourth proportional to 2,652.46, 3,660.24 and 1,533.22 is: 2,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.46 : 3,660.24 = 1,533.22 : x
  2. Step 2: Convert to fraction form
    2,652.46/3,660.24 = 1,533.22/x
  3. Step 3: Cross multiply
    2,652.46x = 3,660.24 × 1,533.22
  4. Step 4: Simplify right side
    2,652.46x = 5,611,953.17
  5. Step 5: Solve for x
    x = 5,611,953.17/2,652.46
  6. Step 6: Final answer
    x = 2,115.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.