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Finding the Fourth Proportional to 2,861.88, 4,300.02 and 1,822.32

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Solution

The fourth proportional to 2,861.88, 4,300.02 and 1,822.32 is: 2,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.88 : 4,300.02 = 1,822.32 : x
  2. Step 2: Convert to fraction form
    2,861.88/4,300.02 = 1,822.32/x
  3. Step 3: Cross multiply
    2,861.88x = 4,300.02 × 1,822.32
  4. Step 4: Simplify right side
    2,861.88x = 7,836,012.45
  5. Step 5: Solve for x
    x = 7,836,012.45/2,861.88
  6. Step 6: Final answer
    x = 2,738.06

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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.