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Finding the Fourth Proportional to 1,904.24, 2,856.66 and 808.61

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Solution

The fourth proportional to 1,904.24, 2,856.66 and 808.61 is: 1,213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.24 : 2,856.66 = 808.61 : x
  2. Step 2: Convert to fraction form
    1,904.24/2,856.66 = 808.61/x
  3. Step 3: Cross multiply
    1,904.24x = 2,856.66 × 808.61
  4. Step 4: Simplify right side
    1,904.24x = 2,309,923.84
  5. Step 5: Solve for x
    x = 2,309,923.84/1,904.24
  6. Step 6: Final answer
    x = 1,213.04

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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.