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Finding the Fourth Proportional to 1,723.78, 2,380.26 and 1,283.68

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Solution

The fourth proportional to 1,723.78, 2,380.26 and 1,283.68 is: 1,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.78 : 2,380.26 = 1,283.68 : x
  2. Step 2: Convert to fraction form
    1,723.78/2,380.26 = 1,283.68/x
  3. Step 3: Cross multiply
    1,723.78x = 2,380.26 × 1,283.68
  4. Step 4: Simplify right side
    1,723.78x = 3,055,492.16
  5. Step 5: Solve for x
    x = 3,055,492.16/1,723.78
  6. Step 6: Final answer
    x = 1,772.55

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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.