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Finding the Fourth Proportional to 2,064.27, 3,091.80 and 1,600.65

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Solution

The fourth proportional to 2,064.27, 3,091.80 and 1,600.65 is: 2,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.27 : 3,091.80 = 1,600.65 : x
  2. Step 2: Convert to fraction form
    2,064.27/3,091.80 = 1,600.65/x
  3. Step 3: Cross multiply
    2,064.27x = 3,091.80 × 1,600.65
  4. Step 4: Simplify right side
    2,064.27x = 4,948,889.67
  5. Step 5: Solve for x
    x = 4,948,889.67/2,064.27
  6. Step 6: Final answer
    x = 2,397.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.