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Finding the Fourth Proportional to 2,339.61, 3,509.34 and 2,081.96

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Solution

The fourth proportional to 2,339.61, 3,509.34 and 2,081.96 is: 3,122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.61 : 3,509.34 = 2,081.96 : x
  2. Step 2: Convert to fraction form
    2,339.61/3,509.34 = 2,081.96/x
  3. Step 3: Cross multiply
    2,339.61x = 3,509.34 × 2,081.96
  4. Step 4: Simplify right side
    2,339.61x = 7,306,305.51
  5. Step 5: Solve for x
    x = 7,306,305.51/2,339.61
  6. Step 6: Final answer
    x = 3,122.87

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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.