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Finding the Fourth Proportional to 1,552.78, 2,142.84 and 854.20

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Solution

The fourth proportional to 1,552.78, 2,142.84 and 854.20 is: 1,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.78 : 2,142.84 = 854.20 : x
  2. Step 2: Convert to fraction form
    1,552.78/2,142.84 = 854.20/x
  3. Step 3: Cross multiply
    1,552.78x = 2,142.84 × 854.20
  4. Step 4: Simplify right side
    1,552.78x = 1,830,413.93
  5. Step 5: Solve for x
    x = 1,830,413.93/1,552.78
  6. Step 6: Final answer
    x = 1,178.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.