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Finding the Fourth Proportional to 2,305.65, 3,458.91 and 1,265.09

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Solution

The fourth proportional to 2,305.65, 3,458.91 and 1,265.09 is: 1,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.65 : 3,458.91 = 1,265.09 : x
  2. Step 2: Convert to fraction form
    2,305.65/3,458.91 = 1,265.09/x
  3. Step 3: Cross multiply
    2,305.65x = 3,458.91 × 1,265.09
  4. Step 4: Simplify right side
    2,305.65x = 4,375,832.45
  5. Step 5: Solve for x
    x = 4,375,832.45/2,305.65
  6. Step 6: Final answer
    x = 1,897.87

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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.