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Finding the Fourth Proportional to 4,270.30, 6,404.91 and 1,348.90

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Solution

The fourth proportional to 4,270.30, 6,404.91 and 1,348.90 is: 2,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.30 : 6,404.91 = 1,348.90 : x
  2. Step 2: Convert to fraction form
    4,270.30/6,404.91 = 1,348.90/x
  3. Step 3: Cross multiply
    4,270.30x = 6,404.91 × 1,348.90
  4. Step 4: Simplify right side
    4,270.30x = 8,639,583.10
  5. Step 5: Solve for x
    x = 8,639,583.10/4,270.30
  6. Step 6: Final answer
    x = 2,023.18

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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.