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Finding the Fourth Proportional to 2,364.13, 3,546.34 and 720.79

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Solution

The fourth proportional to 2,364.13, 3,546.34 and 720.79 is: 1,081.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.13 : 3,546.34 = 720.79 : x
  2. Step 2: Convert to fraction form
    2,364.13/3,546.34 = 720.79/x
  3. Step 3: Cross multiply
    2,364.13x = 3,546.34 × 720.79
  4. Step 4: Simplify right side
    2,364.13x = 2,556,166.41
  5. Step 5: Solve for x
    x = 2,556,166.41/2,364.13
  6. Step 6: Final answer
    x = 1,081.23

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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.