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Finding the Fourth Proportional to 2,276.50, 3,142.30 and 1,657.30

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Solution

The fourth proportional to 2,276.50, 3,142.30 and 1,657.30 is: 2,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.50 : 3,142.30 = 1,657.30 : x
  2. Step 2: Convert to fraction form
    2,276.50/3,142.30 = 1,657.30/x
  3. Step 3: Cross multiply
    2,276.50x = 3,142.30 × 1,657.30
  4. Step 4: Simplify right side
    2,276.50x = 5,207,733.79
  5. Step 5: Solve for x
    x = 5,207,733.79/2,276.50
  6. Step 6: Final answer
    x = 2,287.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.