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Finding the Fourth Proportional to 1,280.71, 1,911.06 and 1,142.80

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Solution

The fourth proportional to 1,280.71, 1,911.06 and 1,142.80 is: 1,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.71 : 1,911.06 = 1,142.80 : x
  2. Step 2: Convert to fraction form
    1,280.71/1,911.06 = 1,142.80/x
  3. Step 3: Cross multiply
    1,280.71x = 1,911.06 × 1,142.80
  4. Step 4: Simplify right side
    1,280.71x = 2,183,959.37
  5. Step 5: Solve for x
    x = 2,183,959.37/1,280.71
  6. Step 6: Final answer
    x = 1,705.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.