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Finding the Fourth Proportional to 2,755.24, 4,132.80 and 905.60

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Solution

The fourth proportional to 2,755.24, 4,132.80 and 905.60 is: 1,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.24 : 4,132.80 = 905.60 : x
  2. Step 2: Convert to fraction form
    2,755.24/4,132.80 = 905.60/x
  3. Step 3: Cross multiply
    2,755.24x = 4,132.80 × 905.60
  4. Step 4: Simplify right side
    2,755.24x = 3,742,674.01
  5. Step 5: Solve for x
    x = 3,742,674.01/2,755.24
  6. Step 6: Final answer
    x = 1,358.39

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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.