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Finding the Fourth Proportional to 2,327.85, 3,490.58 and 684.18

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Solution

The fourth proportional to 2,327.85, 3,490.58 and 684.18 is: 1,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.85 : 3,490.58 = 684.18 : x
  2. Step 2: Convert to fraction form
    2,327.85/3,490.58 = 684.18/x
  3. Step 3: Cross multiply
    2,327.85x = 3,490.58 × 684.18
  4. Step 4: Simplify right side
    2,327.85x = 2,388,181.60
  5. Step 5: Solve for x
    x = 2,388,181.60/2,327.85
  6. Step 6: Final answer
    x = 1,025.92

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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.