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Finding the Fourth Proportional to 1,904.30, 2,855.76 and 1,171.66

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Solution

The fourth proportional to 1,904.30, 2,855.76 and 1,171.66 is: 1,757.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.30 : 2,855.76 = 1,171.66 : x
  2. Step 2: Convert to fraction form
    1,904.30/2,855.76 = 1,171.66/x
  3. Step 3: Cross multiply
    1,904.30x = 2,855.76 × 1,171.66
  4. Step 4: Simplify right side
    1,904.30x = 3,345,979.76
  5. Step 5: Solve for x
    x = 3,345,979.76/1,904.30
  6. Step 6: Final answer
    x = 1,757.07

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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.