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Finding the Fourth Proportional to 4,270.48, 6,403.18 and 2,077

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Solution

The fourth proportional to 4,270.48, 6,403.18 and 2,077 is: 3,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.48 : 6,403.18 = 2,077 : x
  2. Step 2: Convert to fraction form
    4,270.48/6,403.18 = 2,077/x
  3. Step 3: Cross multiply
    4,270.48x = 6,403.18 × 2,077
  4. Step 4: Simplify right side
    4,270.48x = 13,299,404.86
  5. Step 5: Solve for x
    x = 13,299,404.86/4,270.48
  6. Step 6: Final answer
    x = 3,114.26

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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.