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Finding the Fourth Proportional to 2,224.95, 3,070.67 and 1,280.78

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Solution

The fourth proportional to 2,224.95, 3,070.67 and 1,280.78 is: 1,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.95 : 3,070.67 = 1,280.78 : x
  2. Step 2: Convert to fraction form
    2,224.95/3,070.67 = 1,280.78/x
  3. Step 3: Cross multiply
    2,224.95x = 3,070.67 × 1,280.78
  4. Step 4: Simplify right side
    2,224.95x = 3,932,863.60
  5. Step 5: Solve for x
    x = 3,932,863.60/2,224.95
  6. Step 6: Final answer
    x = 1,767.62

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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.