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Finding the Fourth Proportional to 2,255.60, 3,389.78 and 1,331.60

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Solution

The fourth proportional to 2,255.60, 3,389.78 and 1,331.60 is: 2,001.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.60 : 3,389.78 = 1,331.60 : x
  2. Step 2: Convert to fraction form
    2,255.60/3,389.78 = 1,331.60/x
  3. Step 3: Cross multiply
    2,255.60x = 3,389.78 × 1,331.60
  4. Step 4: Simplify right side
    2,255.60x = 4,513,817.43
  5. Step 5: Solve for x
    x = 4,513,817.43/2,255.60
  6. Step 6: Final answer
    x = 2,001.16

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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.