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Finding the Fourth Proportional to 3,160.60, 4,730.10 and 2,771.80

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Solution

The fourth proportional to 3,160.60, 4,730.10 and 2,771.80 is: 4,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.60 : 4,730.10 = 2,771.80 : x
  2. Step 2: Convert to fraction form
    3,160.60/4,730.10 = 2,771.80/x
  3. Step 3: Cross multiply
    3,160.60x = 4,730.10 × 2,771.80
  4. Step 4: Simplify right side
    3,160.60x = 13,110,891.18
  5. Step 5: Solve for x
    x = 13,110,891.18/3,160.60
  6. Step 6: Final answer
    x = 4,148.23

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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.