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Finding the Fourth Proportional to 2,060.57, 3,091.38 and 599.72

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Solution

The fourth proportional to 2,060.57, 3,091.38 and 599.72 is: 899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.57 : 3,091.38 = 599.72 : x
  2. Step 2: Convert to fraction form
    2,060.57/3,091.38 = 599.72/x
  3. Step 3: Cross multiply
    2,060.57x = 3,091.38 × 599.72
  4. Step 4: Simplify right side
    2,060.57x = 1,853,962.41
  5. Step 5: Solve for x
    x = 1,853,962.41/2,060.57
  6. Step 6: Final answer
    x = 899.73

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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.