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Finding the Fourth Proportional to 1,321.83, 1,985.22 and 1,213.47

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Solution

The fourth proportional to 1,321.83, 1,985.22 and 1,213.47 is: 1,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.83 : 1,985.22 = 1,213.47 : x
  2. Step 2: Convert to fraction form
    1,321.83/1,985.22 = 1,213.47/x
  3. Step 3: Cross multiply
    1,321.83x = 1,985.22 × 1,213.47
  4. Step 4: Simplify right side
    1,321.83x = 2,409,004.91
  5. Step 5: Solve for x
    x = 2,409,004.91/1,321.83
  6. Step 6: Final answer
    x = 1,822.48

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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.