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Finding the Fourth Proportional to 1,552.73, 2,142.83 and 854.06

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Solution

The fourth proportional to 1,552.73, 2,142.83 and 854.06 is: 1,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.73 : 2,142.83 = 854.06 : x
  2. Step 2: Convert to fraction form
    1,552.73/2,142.83 = 854.06/x
  3. Step 3: Cross multiply
    1,552.73x = 2,142.83 × 854.06
  4. Step 4: Simplify right side
    1,552.73x = 1,830,105.39
  5. Step 5: Solve for x
    x = 1,830,105.39/1,552.73
  6. Step 6: Final answer
    x = 1,178.64

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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.