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Finding the Fourth Proportional to 1,796.91, 2,478.69 and 1,208.25

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Solution

The fourth proportional to 1,796.91, 2,478.69 and 1,208.25 is: 1,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.91 : 2,478.69 = 1,208.25 : x
  2. Step 2: Convert to fraction form
    1,796.91/2,478.69 = 1,208.25/x
  3. Step 3: Cross multiply
    1,796.91x = 2,478.69 × 1,208.25
  4. Step 4: Simplify right side
    1,796.91x = 2,994,877.19
  5. Step 5: Solve for x
    x = 2,994,877.19/1,796.91
  6. Step 6: Final answer
    x = 1,666.68

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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.