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Finding the Fourth Proportional to 1,920.44, 2,647.78 and 1,256.24

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Solution

The fourth proportional to 1,920.44, 2,647.78 and 1,256.24 is: 1,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.44 : 2,647.78 = 1,256.24 : x
  2. Step 2: Convert to fraction form
    1,920.44/2,647.78 = 1,256.24/x
  3. Step 3: Cross multiply
    1,920.44x = 2,647.78 × 1,256.24
  4. Step 4: Simplify right side
    1,920.44x = 3,326,250.63
  5. Step 5: Solve for x
    x = 3,326,250.63/1,920.44
  6. Step 6: Final answer
    x = 1,732.02

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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.