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Finding the Fourth Proportional to 2,906.40, 4,010 and 1,857.60

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Solution

The fourth proportional to 2,906.40, 4,010 and 1,857.60 is: 2,562.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.40 : 4,010 = 1,857.60 : x
  2. Step 2: Convert to fraction form
    2,906.40/4,010 = 1,857.60/x
  3. Step 3: Cross multiply
    2,906.40x = 4,010 × 1,857.60
  4. Step 4: Simplify right side
    2,906.40x = 7,448,976
  5. Step 5: Solve for x
    x = 7,448,976/2,906.40
  6. Step 6: Final answer
    x = 2,562.96

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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.