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Finding the Fourth Proportional to 1,922.63, 2,653.22 and 1,224.41

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Solution

The fourth proportional to 1,922.63, 2,653.22 and 1,224.41 is: 1,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.63 : 2,653.22 = 1,224.41 : x
  2. Step 2: Convert to fraction form
    1,922.63/2,653.22 = 1,224.41/x
  3. Step 3: Cross multiply
    1,922.63x = 2,653.22 × 1,224.41
  4. Step 4: Simplify right side
    1,922.63x = 3,248,618.90
  5. Step 5: Solve for x
    x = 3,248,618.90/1,922.63
  6. Step 6: Final answer
    x = 1,689.68

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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.