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Finding the Fourth Proportional to 2,363.46, 3,237.96 and 2,274.80

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Solution

The fourth proportional to 2,363.46, 3,237.96 and 2,274.80 is: 3,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.46 : 3,237.96 = 2,274.80 : x
  2. Step 2: Convert to fraction form
    2,363.46/3,237.96 = 2,274.80/x
  3. Step 3: Cross multiply
    2,363.46x = 3,237.96 × 2,274.80
  4. Step 4: Simplify right side
    2,363.46x = 7,365,711.41
  5. Step 5: Solve for x
    x = 7,365,711.41/2,363.46
  6. Step 6: Final answer
    x = 3,116.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.