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Finding the Fourth Proportional to 2,364.13, 3,546.20 and 720.67

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Solution

The fourth proportional to 2,364.13, 3,546.20 and 720.67 is: 1,081.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.13 : 3,546.20 = 720.67 : x
  2. Step 2: Convert to fraction form
    2,364.13/3,546.20 = 720.67/x
  3. Step 3: Cross multiply
    2,364.13x = 3,546.20 × 720.67
  4. Step 4: Simplify right side
    2,364.13x = 2,555,639.95
  5. Step 5: Solve for x
    x = 2,555,639.95/2,364.13
  6. Step 6: Final answer
    x = 1,081.01

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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.