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Finding the Fourth Proportional to 2,865.54, 3,954 and 1,606.66

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Solution

The fourth proportional to 2,865.54, 3,954 and 1,606.66 is: 2,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.54 : 3,954 = 1,606.66 : x
  2. Step 2: Convert to fraction form
    2,865.54/3,954 = 1,606.66/x
  3. Step 3: Cross multiply
    2,865.54x = 3,954 × 1,606.66
  4. Step 4: Simplify right side
    2,865.54x = 6,352,733.64
  5. Step 5: Solve for x
    x = 6,352,733.64/2,865.54
  6. Step 6: Final answer
    x = 2,216.94

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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.