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Finding the Fourth Proportional to 4,269.30, 6,404.69 and 1,307.67

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Solution

The fourth proportional to 4,269.30, 6,404.69 and 1,307.67 is: 1,961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.30 : 6,404.69 = 1,307.67 : x
  2. Step 2: Convert to fraction form
    4,269.30/6,404.69 = 1,307.67/x
  3. Step 3: Cross multiply
    4,269.30x = 6,404.69 × 1,307.67
  4. Step 4: Simplify right side
    4,269.30x = 8,375,214.43
  5. Step 5: Solve for x
    x = 8,375,214.43/4,269.30
  6. Step 6: Final answer
    x = 1,961.73

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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.