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Finding the Fourth Proportional to 2,305.15, 3,455.83 and 917.89

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Solution

The fourth proportional to 2,305.15, 3,455.83 and 917.89 is: 1,376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.15 : 3,455.83 = 917.89 : x
  2. Step 2: Convert to fraction form
    2,305.15/3,455.83 = 917.89/x
  3. Step 3: Cross multiply
    2,305.15x = 3,455.83 × 917.89
  4. Step 4: Simplify right side
    2,305.15x = 3,172,071.80
  5. Step 5: Solve for x
    x = 3,172,071.80/2,305.15
  6. Step 6: Final answer
    x = 1,376.08

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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.