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Finding the Fourth Proportional to 2,553.44, 3,524.97 and 1,985

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Solution

The fourth proportional to 2,553.44, 3,524.97 and 1,985 is: 2,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.44 : 3,524.97 = 1,985 : x
  2. Step 2: Convert to fraction form
    2,553.44/3,524.97 = 1,985/x
  3. Step 3: Cross multiply
    2,553.44x = 3,524.97 × 1,985
  4. Step 4: Simplify right side
    2,553.44x = 6,997,065.45
  5. Step 5: Solve for x
    x = 6,997,065.45/2,553.44
  6. Step 6: Final answer
    x = 2,740.25

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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.