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Finding the Fourth Proportional to 2,652.64, 3,662.48 and 1,606.56

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Solution

The fourth proportional to 2,652.64, 3,662.48 and 1,606.56 is: 2,218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.64 : 3,662.48 = 1,606.56 : x
  2. Step 2: Convert to fraction form
    2,652.64/3,662.48 = 1,606.56/x
  3. Step 3: Cross multiply
    2,652.64x = 3,662.48 × 1,606.56
  4. Step 4: Simplify right side
    2,652.64x = 5,883,993.87
  5. Step 5: Solve for x
    x = 5,883,993.87/2,652.64
  6. Step 6: Final answer
    x = 2,218.17

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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.