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Finding the Fourth Proportional to 2,327.10, 3,490.38 and 683.61

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Solution

The fourth proportional to 2,327.10, 3,490.38 and 683.61 is: 1,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.10 : 3,490.38 = 683.61 : x
  2. Step 2: Convert to fraction form
    2,327.10/3,490.38 = 683.61/x
  3. Step 3: Cross multiply
    2,327.10x = 3,490.38 × 683.61
  4. Step 4: Simplify right side
    2,327.10x = 2,386,058.67
  5. Step 5: Solve for x
    x = 2,386,058.67/2,327.10
  6. Step 6: Final answer
    x = 1,025.34

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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.