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Finding the Fourth Proportional to 2,824.74, 3,897.78 and 1,645.62

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Solution

The fourth proportional to 2,824.74, 3,897.78 and 1,645.62 is: 2,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.74 : 3,897.78 = 1,645.62 : x
  2. Step 2: Convert to fraction form
    2,824.74/3,897.78 = 1,645.62/x
  3. Step 3: Cross multiply
    2,824.74x = 3,897.78 × 1,645.62
  4. Step 4: Simplify right side
    2,824.74x = 6,414,264.72
  5. Step 5: Solve for x
    x = 6,414,264.72/2,824.74
  6. Step 6: Final answer
    x = 2,270.75

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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.