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Finding the Fourth Proportional to 2,946.07, 4,064.99 and 2,237.73

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Solution

The fourth proportional to 2,946.07, 4,064.99 and 2,237.73 is: 3,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.07 : 4,064.99 = 2,237.73 : x
  2. Step 2: Convert to fraction form
    2,946.07/4,064.99 = 2,237.73/x
  3. Step 3: Cross multiply
    2,946.07x = 4,064.99 × 2,237.73
  4. Step 4: Simplify right side
    2,946.07x = 9,096,323.64
  5. Step 5: Solve for x
    x = 9,096,323.64/2,946.07
  6. Step 6: Final answer
    x = 3,087.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.