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Finding the Fourth Proportional to 1,883.58, 2,592.99 and 1,620.06

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Solution

The fourth proportional to 1,883.58, 2,592.99 and 1,620.06 is: 2,230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.58 : 2,592.99 = 1,620.06 : x
  2. Step 2: Convert to fraction form
    1,883.58/2,592.99 = 1,620.06/x
  3. Step 3: Cross multiply
    1,883.58x = 2,592.99 × 1,620.06
  4. Step 4: Simplify right side
    1,883.58x = 4,200,799.38
  5. Step 5: Solve for x
    x = 4,200,799.38/1,883.58
  6. Step 6: Final answer
    x = 2,230.22

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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.