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Finding the Fourth Proportional to 2,652.66, 3,659.30 and 1,589.58

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Solution

The fourth proportional to 2,652.66, 3,659.30 and 1,589.58 is: 2,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.66 : 3,659.30 = 1,589.58 : x
  2. Step 2: Convert to fraction form
    2,652.66/3,659.30 = 1,589.58/x
  3. Step 3: Cross multiply
    2,652.66x = 3,659.30 × 1,589.58
  4. Step 4: Simplify right side
    2,652.66x = 5,816,750.09
  5. Step 5: Solve for x
    x = 5,816,750.09/2,652.66
  6. Step 6: Final answer
    x = 2,192.80

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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.