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Finding the Fourth Proportional to 2,325.15, 3,490.16 and 2,226.74

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Solution

The fourth proportional to 2,325.15, 3,490.16 and 2,226.74 is: 3,342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.15 : 3,490.16 = 2,226.74 : x
  2. Step 2: Convert to fraction form
    2,325.15/3,490.16 = 2,226.74/x
  3. Step 3: Cross multiply
    2,325.15x = 3,490.16 × 2,226.74
  4. Step 4: Simplify right side
    2,325.15x = 7,771,650.29
  5. Step 5: Solve for x
    x = 7,771,650.29/2,325.15
  6. Step 6: Final answer
    x = 3,342.43

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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.