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Finding the Fourth Proportional to 1,367.94, 2,053.14 and 1,280.46

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Solution

The fourth proportional to 1,367.94, 2,053.14 and 1,280.46 is: 1,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.94 : 2,053.14 = 1,280.46 : x
  2. Step 2: Convert to fraction form
    1,367.94/2,053.14 = 1,280.46/x
  3. Step 3: Cross multiply
    1,367.94x = 2,053.14 × 1,280.46
  4. Step 4: Simplify right side
    1,367.94x = 2,628,963.64
  5. Step 5: Solve for x
    x = 2,628,963.64/1,367.94
  6. Step 6: Final answer
    x = 1,921.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.