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Finding the Fourth Proportional to 2,866.23, 3,954.69 and 1,670.49

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Solution

The fourth proportional to 2,866.23, 3,954.69 and 1,670.49 is: 2,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.23 : 3,954.69 = 1,670.49 : x
  2. Step 2: Convert to fraction form
    2,866.23/3,954.69 = 1,670.49/x
  3. Step 3: Cross multiply
    2,866.23x = 3,954.69 × 1,670.49
  4. Step 4: Simplify right side
    2,866.23x = 6,606,270.10
  5. Step 5: Solve for x
    x = 6,606,270.10/2,866.23
  6. Step 6: Final answer
    x = 2,304.86

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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.