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Finding the Fourth Proportional to 1,856.00, 2,559.65 and 1,192.61

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Solution

The fourth proportional to 1,856.00, 2,559.65 and 1,192.61 is: 1,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.00 : 2,559.65 = 1,192.61 : x
  2. Step 2: Convert to fraction form
    1,856.00/2,559.65 = 1,192.61/x
  3. Step 3: Cross multiply
    1,856.00x = 2,559.65 × 1,192.61
  4. Step 4: Simplify right side
    1,856.00x = 3,052,645.43
  5. Step 5: Solve for x
    x = 3,052,645.43/1,856.00
  6. Step 6: Final answer
    x = 1,644.75

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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.