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Finding the Fourth Proportional to 4,270.91, 6,402.17 and 2,049.10

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Solution

The fourth proportional to 4,270.91, 6,402.17 and 2,049.10 is: 3,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.91 : 6,402.17 = 2,049.10 : x
  2. Step 2: Convert to fraction form
    4,270.91/6,402.17 = 2,049.10/x
  3. Step 3: Cross multiply
    4,270.91x = 6,402.17 × 2,049.10
  4. Step 4: Simplify right side
    4,270.91x = 13,118,675.66
  5. Step 5: Solve for x
    x = 13,118,675.66/4,270.91
  6. Step 6: Final answer
    x = 3,071.64

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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.