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Finding the Fourth Proportional to 2,818.70, 4,222.78 and 2,359.43

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Solution

The fourth proportional to 2,818.70, 4,222.78 and 2,359.43 is: 3,534.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.70 : 4,222.78 = 2,359.43 : x
  2. Step 2: Convert to fraction form
    2,818.70/4,222.78 = 2,359.43/x
  3. Step 3: Cross multiply
    2,818.70x = 4,222.78 × 2,359.43
  4. Step 4: Simplify right side
    2,818.70x = 9,963,353.82
  5. Step 5: Solve for x
    x = 9,963,353.82/2,818.70
  6. Step 6: Final answer
    x = 3,534.73

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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.