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Finding the Fourth Proportional to 1,216.22, 1,826.15 and 1,052.19

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Solution

The fourth proportional to 1,216.22, 1,826.15 and 1,052.19 is: 1,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.22 : 1,826.15 = 1,052.19 : x
  2. Step 2: Convert to fraction form
    1,216.22/1,826.15 = 1,052.19/x
  3. Step 3: Cross multiply
    1,216.22x = 1,826.15 × 1,052.19
  4. Step 4: Simplify right side
    1,216.22x = 1,921,451.51
  5. Step 5: Solve for x
    x = 1,921,451.51/1,216.22
  6. Step 6: Final answer
    x = 1,579.86

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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.