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Finding the Fourth Proportional to 1,774.96, 2,447.76 and 1,280.80

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Solution

The fourth proportional to 1,774.96, 2,447.76 and 1,280.80 is: 1,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.96 : 2,447.76 = 1,280.80 : x
  2. Step 2: Convert to fraction form
    1,774.96/2,447.76 = 1,280.80/x
  3. Step 3: Cross multiply
    1,774.96x = 2,447.76 × 1,280.80
  4. Step 4: Simplify right side
    1,774.96x = 3,135,091.01
  5. Step 5: Solve for x
    x = 3,135,091.01/1,774.96
  6. Step 6: Final answer
    x = 1,766.29

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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.