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Finding the Fourth Proportional to 2,052.58, 3,079.39 and 591.74

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Solution

The fourth proportional to 2,052.58, 3,079.39 and 591.74 is: 887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.58 : 3,079.39 = 591.74 : x
  2. Step 2: Convert to fraction form
    2,052.58/3,079.39 = 591.74/x
  3. Step 3: Cross multiply
    2,052.58x = 3,079.39 × 591.74
  4. Step 4: Simplify right side
    2,052.58x = 1,822,198.24
  5. Step 5: Solve for x
    x = 1,822,198.24/2,052.58
  6. Step 6: Final answer
    x = 887.76

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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.