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Finding the Fourth Proportional to 1,856.07, 2,562.17 and 1,226.88

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Solution

The fourth proportional to 1,856.07, 2,562.17 and 1,226.88 is: 1,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.07 : 2,562.17 = 1,226.88 : x
  2. Step 2: Convert to fraction form
    1,856.07/2,562.17 = 1,226.88/x
  3. Step 3: Cross multiply
    1,856.07x = 2,562.17 × 1,226.88
  4. Step 4: Simplify right side
    1,856.07x = 3,143,469.00
  5. Step 5: Solve for x
    x = 3,143,469.00/1,856.07
  6. Step 6: Final answer
    x = 1,693.62

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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.