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Finding the Fourth Proportional to 2,066.73, 2,852.27 and 1,280.63

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Solution

The fourth proportional to 2,066.73, 2,852.27 and 1,280.63 is: 1,767.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.73 : 2,852.27 = 1,280.63 : x
  2. Step 2: Convert to fraction form
    2,066.73/2,852.27 = 1,280.63/x
  3. Step 3: Cross multiply
    2,066.73x = 2,852.27 × 1,280.63
  4. Step 4: Simplify right side
    2,066.73x = 3,652,681.87
  5. Step 5: Solve for x
    x = 3,652,681.87/2,066.73
  6. Step 6: Final answer
    x = 1,767.37

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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.