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Finding the Fourth Proportional to 2,895.20, 4,334.70 and 2,814.20

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Solution

The fourth proportional to 2,895.20, 4,334.70 and 2,814.20 is: 4,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.20 : 4,334.70 = 2,814.20 : x
  2. Step 2: Convert to fraction form
    2,895.20/4,334.70 = 2,814.20/x
  3. Step 3: Cross multiply
    2,895.20x = 4,334.70 × 2,814.20
  4. Step 4: Simplify right side
    2,895.20x = 12,198,712.74
  5. Step 5: Solve for x
    x = 12,198,712.74/2,895.20
  6. Step 6: Final answer
    x = 4,213.43

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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.