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Finding the Fourth Proportional to 2,107.56, 2,908.50 and 1,408.80

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Solution

The fourth proportional to 2,107.56, 2,908.50 and 1,408.80 is: 1,944.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.56 : 2,908.50 = 1,408.80 : x
  2. Step 2: Convert to fraction form
    2,107.56/2,908.50 = 1,408.80/x
  3. Step 3: Cross multiply
    2,107.56x = 2,908.50 × 1,408.80
  4. Step 4: Simplify right side
    2,107.56x = 4,097,494.80
  5. Step 5: Solve for x
    x = 4,097,494.80/2,107.56
  6. Step 6: Final answer
    x = 1,944.19

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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.