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Finding the Fourth Proportional to 1,799.50, 2,699.34 and 1,704.82

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Solution

The fourth proportional to 1,799.50, 2,699.34 and 1,704.82 is: 2,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.50 : 2,699.34 = 1,704.82 : x
  2. Step 2: Convert to fraction form
    1,799.50/2,699.34 = 1,704.82/x
  3. Step 3: Cross multiply
    1,799.50x = 2,699.34 × 1,704.82
  4. Step 4: Simplify right side
    1,799.50x = 4,601,888.82
  5. Step 5: Solve for x
    x = 4,601,888.82/1,799.50
  6. Step 6: Final answer
    x = 2,557.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.