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Finding the Fourth Proportional to 3,152.22, 4,729.67 and 1,304.67

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Solution

The fourth proportional to 3,152.22, 4,729.67 and 1,304.67 is: 1,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.22 : 4,729.67 = 1,304.67 : x
  2. Step 2: Convert to fraction form
    3,152.22/4,729.67 = 1,304.67/x
  3. Step 3: Cross multiply
    3,152.22x = 4,729.67 × 1,304.67
  4. Step 4: Simplify right side
    3,152.22x = 6,170,658.56
  5. Step 5: Solve for x
    x = 6,170,658.56/3,152.22
  6. Step 6: Final answer
    x = 1,957.56

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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.