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Finding the Fourth Proportional to 1,214.61, 1,822.38 and 1,207.32

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Solution

The fourth proportional to 1,214.61, 1,822.38 and 1,207.32 is: 1,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.61 : 1,822.38 = 1,207.32 : x
  2. Step 2: Convert to fraction form
    1,214.61/1,822.38 = 1,207.32/x
  3. Step 3: Cross multiply
    1,214.61x = 1,822.38 × 1,207.32
  4. Step 4: Simplify right side
    1,214.61x = 2,200,195.82
  5. Step 5: Solve for x
    x = 2,200,195.82/1,214.61
  6. Step 6: Final answer
    x = 1,811.44

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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.