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Finding the Fourth Proportional to 2,326.05, 3,490.91 and 2,052.69

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Solution

The fourth proportional to 2,326.05, 3,490.91 and 2,052.69 is: 3,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.05 : 3,490.91 = 2,052.69 : x
  2. Step 2: Convert to fraction form
    2,326.05/3,490.91 = 2,052.69/x
  3. Step 3: Cross multiply
    2,326.05x = 3,490.91 × 2,052.69
  4. Step 4: Simplify right side
    2,326.05x = 7,165,745.78
  5. Step 5: Solve for x
    x = 7,165,745.78/2,326.05
  6. Step 6: Final answer
    x = 3,080.65

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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.