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Finding the Fourth Proportional to 2,327.14, 3,489.84 and 940.10

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Solution

The fourth proportional to 2,327.14, 3,489.84 and 940.10 is: 1,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.14 : 3,489.84 = 940.10 : x
  2. Step 2: Convert to fraction form
    2,327.14/3,489.84 = 940.10/x
  3. Step 3: Cross multiply
    2,327.14x = 3,489.84 × 940.10
  4. Step 4: Simplify right side
    2,327.14x = 3,280,798.58
  5. Step 5: Solve for x
    x = 3,280,798.58/2,327.14
  6. Step 6: Final answer
    x = 1,409.80

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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.