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Finding the Fourth Proportional to 2,669.44, 3,683.92 and 1,490.64

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Solution

The fourth proportional to 2,669.44, 3,683.92 and 1,490.64 is: 2,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.44 : 3,683.92 = 1,490.64 : x
  2. Step 2: Convert to fraction form
    2,669.44/3,683.92 = 1,490.64/x
  3. Step 3: Cross multiply
    2,669.44x = 3,683.92 × 1,490.64
  4. Step 4: Simplify right side
    2,669.44x = 5,491,398.51
  5. Step 5: Solve for x
    x = 5,491,398.51/2,669.44
  6. Step 6: Final answer
    x = 2,057.14

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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.