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Finding the Fourth Proportional to 2,873.94, 4,305.24 and 1,408.68

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Solution

The fourth proportional to 2,873.94, 4,305.24 and 1,408.68 is: 2,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.94 : 4,305.24 = 1,408.68 : x
  2. Step 2: Convert to fraction form
    2,873.94/4,305.24 = 1,408.68/x
  3. Step 3: Cross multiply
    2,873.94x = 4,305.24 × 1,408.68
  4. Step 4: Simplify right side
    2,873.94x = 6,064,705.48
  5. Step 5: Solve for x
    x = 6,064,705.48/2,873.94
  6. Step 6: Final answer
    x = 2,110.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.