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Finding the Fourth Proportional to 1,736.83, 2,604.43 and 1,006.62

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Solution

The fourth proportional to 1,736.83, 2,604.43 and 1,006.62 is: 1,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.83 : 2,604.43 = 1,006.62 : x
  2. Step 2: Convert to fraction form
    1,736.83/2,604.43 = 1,006.62/x
  3. Step 3: Cross multiply
    1,736.83x = 2,604.43 × 1,006.62
  4. Step 4: Simplify right side
    1,736.83x = 2,621,671.33
  5. Step 5: Solve for x
    x = 2,621,671.33/1,736.83
  6. Step 6: Final answer
    x = 1,509.46

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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.