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Finding the Fourth Proportional to 2,367.02, 3,550.96 and 723.54

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Solution

The fourth proportional to 2,367.02, 3,550.96 and 723.54 is: 1,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.02 : 3,550.96 = 723.54 : x
  2. Step 2: Convert to fraction form
    2,367.02/3,550.96 = 723.54/x
  3. Step 3: Cross multiply
    2,367.02x = 3,550.96 × 723.54
  4. Step 4: Simplify right side
    2,367.02x = 2,569,261.60
  5. Step 5: Solve for x
    x = 2,569,261.60/2,367.02
  6. Step 6: Final answer
    x = 1,085.44

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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.