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Finding the Fourth Proportional to 2,652.12, 3,660.05 and 1,533.22

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Solution

The fourth proportional to 2,652.12, 3,660.05 and 1,533.22 is: 2,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.12 : 3,660.05 = 1,533.22 : x
  2. Step 2: Convert to fraction form
    2,652.12/3,660.05 = 1,533.22/x
  3. Step 3: Cross multiply
    2,652.12x = 3,660.05 × 1,533.22
  4. Step 4: Simplify right side
    2,652.12x = 5,611,656.54
  5. Step 5: Solve for x
    x = 5,611,656.54/2,652.12
  6. Step 6: Final answer
    x = 2,115.91

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