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Finding the Fourth Proportional to 3,410.16, 4,704.86 and 1,917.76

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Solution

The fourth proportional to 3,410.16, 4,704.86 and 1,917.76 is: 2,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.16 : 4,704.86 = 1,917.76 : x
  2. Step 2: Convert to fraction form
    3,410.16/4,704.86 = 1,917.76/x
  3. Step 3: Cross multiply
    3,410.16x = 4,704.86 × 1,917.76
  4. Step 4: Simplify right side
    3,410.16x = 9,022,788.77
  5. Step 5: Solve for x
    x = 9,022,788.77/3,410.16
  6. Step 6: Final answer
    x = 2,645.86

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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.