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Finding the Fourth Proportional to 2,509.82, 3,760.26 and 2,140.86

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Solution

The fourth proportional to 2,509.82, 3,760.26 and 2,140.86 is: 3,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.82 : 3,760.26 = 2,140.86 : x
  2. Step 2: Convert to fraction form
    2,509.82/3,760.26 = 2,140.86/x
  3. Step 3: Cross multiply
    2,509.82x = 3,760.26 × 2,140.86
  4. Step 4: Simplify right side
    2,509.82x = 8,050,190.22
  5. Step 5: Solve for x
    x = 8,050,190.22/2,509.82
  6. Step 6: Final answer
    x = 3,207.48

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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.