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Finding the Fourth Proportional to 2,259.27, 3,388.98 and 1,823.10

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Solution

The fourth proportional to 2,259.27, 3,388.98 and 1,823.10 is: 2,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.27 : 3,388.98 = 1,823.10 : x
  2. Step 2: Convert to fraction form
    2,259.27/3,388.98 = 1,823.10/x
  3. Step 3: Cross multiply
    2,259.27x = 3,388.98 × 1,823.10
  4. Step 4: Simplify right side
    2,259.27x = 6,178,449.44
  5. Step 5: Solve for x
    x = 6,178,449.44/2,259.27
  6. Step 6: Final answer
    x = 2,734.71

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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.