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Finding the Fourth Proportional to 1,212, 1,826.25 and 1,079.39

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Solution

The fourth proportional to 1,212, 1,826.25 and 1,079.39 is: 1,626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212 : 1,826.25 = 1,079.39 : x
  2. Step 2: Convert to fraction form
    1,212/1,826.25 = 1,079.39/x
  3. Step 3: Cross multiply
    1,212x = 1,826.25 × 1,079.39
  4. Step 4: Simplify right side
    1,212x = 1,971,226.86
  5. Step 5: Solve for x
    x = 1,971,226.86/1,212
  6. Step 6: Final answer
    x = 1,626.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.