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Finding the Fourth Proportional to 2,459.31, 3,690.16 and 1,226.90

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Solution

The fourth proportional to 2,459.31, 3,690.16 and 1,226.90 is: 1,840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.31 : 3,690.16 = 1,226.90 : x
  2. Step 2: Convert to fraction form
    2,459.31/3,690.16 = 1,226.90/x
  3. Step 3: Cross multiply
    2,459.31x = 3,690.16 × 1,226.90
  4. Step 4: Simplify right side
    2,459.31x = 4,527,442.71
  5. Step 5: Solve for x
    x = 4,527,442.71/2,459.31
  6. Step 6: Final answer
    x = 1,840.94

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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.