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Finding the Fourth Proportional to 3,113.56, 4,669.70 and 1,469.40

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Solution

The fourth proportional to 3,113.56, 4,669.70 and 1,469.40 is: 2,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.56 : 4,669.70 = 1,469.40 : x
  2. Step 2: Convert to fraction form
    3,113.56/4,669.70 = 1,469.40/x
  3. Step 3: Cross multiply
    3,113.56x = 4,669.70 × 1,469.40
  4. Step 4: Simplify right side
    3,113.56x = 6,861,657.18
  5. Step 5: Solve for x
    x = 6,861,657.18/3,113.56
  6. Step 6: Final answer
    x = 2,203.80

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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.