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Finding the Fourth Proportional to 1,760.40, 2,644.20 and 1,699.20

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Solution

The fourth proportional to 1,760.40, 2,644.20 and 1,699.20 is: 2,552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.40 : 2,644.20 = 1,699.20 : x
  2. Step 2: Convert to fraction form
    1,760.40/2,644.20 = 1,699.20/x
  3. Step 3: Cross multiply
    1,760.40x = 2,644.20 × 1,699.20
  4. Step 4: Simplify right side
    1,760.40x = 4,493,024.64
  5. Step 5: Solve for x
    x = 4,493,024.64/1,760.40
  6. Step 6: Final answer
    x = 2,552.27

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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.