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Finding the Fourth Proportional to 2,609.23, 3,907.85 and 1,510.87

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Solution

The fourth proportional to 2,609.23, 3,907.85 and 1,510.87 is: 2,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.23 : 3,907.85 = 1,510.87 : x
  2. Step 2: Convert to fraction form
    2,609.23/3,907.85 = 1,510.87/x
  3. Step 3: Cross multiply
    2,609.23x = 3,907.85 × 1,510.87
  4. Step 4: Simplify right side
    2,609.23x = 5,904,245.78
  5. Step 5: Solve for x
    x = 5,904,245.78/2,609.23
  6. Step 6: Final answer
    x = 2,262.83

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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.