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Finding the Fourth Proportional to 1,292.88, 1,783.42 and 1,206.48

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Solution

The fourth proportional to 1,292.88, 1,783.42 and 1,206.48 is: 1,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.88 : 1,783.42 = 1,206.48 : x
  2. Step 2: Convert to fraction form
    1,292.88/1,783.42 = 1,206.48/x
  3. Step 3: Cross multiply
    1,292.88x = 1,783.42 × 1,206.48
  4. Step 4: Simplify right side
    1,292.88x = 2,151,660.56
  5. Step 5: Solve for x
    x = 2,151,660.56/1,292.88
  6. Step 6: Final answer
    x = 1,664.24

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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.