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Finding the Fourth Proportional to 1,924.41, 2,649.16 and 1,426.11

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Solution

The fourth proportional to 1,924.41, 2,649.16 and 1,426.11 is: 1,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.41 : 2,649.16 = 1,426.11 : x
  2. Step 2: Convert to fraction form
    1,924.41/2,649.16 = 1,426.11/x
  3. Step 3: Cross multiply
    1,924.41x = 2,649.16 × 1,426.11
  4. Step 4: Simplify right side
    1,924.41x = 3,777,977.39
  5. Step 5: Solve for x
    x = 3,777,977.39/1,924.41
  6. Step 6: Final answer
    x = 1,963.19

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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.