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Finding the Fourth Proportional to 2,524.84, 3,477.54 and 2,193.64

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Solution

The fourth proportional to 2,524.84, 3,477.54 and 2,193.64 is: 3,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.84 : 3,477.54 = 2,193.64 : x
  2. Step 2: Convert to fraction form
    2,524.84/3,477.54 = 2,193.64/x
  3. Step 3: Cross multiply
    2,524.84x = 3,477.54 × 2,193.64
  4. Step 4: Simplify right side
    2,524.84x = 7,628,470.85
  5. Step 5: Solve for x
    x = 7,628,470.85/2,524.84
  6. Step 6: Final answer
    x = 3,021.37

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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.