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Finding the Fourth Proportional to 2,263.93, 3,396.87 and 947.99

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Solution

The fourth proportional to 2,263.93, 3,396.87 and 947.99 is: 1,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.93 : 3,396.87 = 947.99 : x
  2. Step 2: Convert to fraction form
    2,263.93/3,396.87 = 947.99/x
  3. Step 3: Cross multiply
    2,263.93x = 3,396.87 × 947.99
  4. Step 4: Simplify right side
    2,263.93x = 3,220,194.05
  5. Step 5: Solve for x
    x = 3,220,194.05/2,263.93
  6. Step 6: Final answer
    x = 1,422.39

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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.