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Finding the Fourth Proportional to 1,736.33, 2,600.10 and 1,345.68

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Solution

The fourth proportional to 1,736.33, 2,600.10 and 1,345.68 is: 2,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.33 : 2,600.10 = 1,345.68 : x
  2. Step 2: Convert to fraction form
    1,736.33/2,600.10 = 1,345.68/x
  3. Step 3: Cross multiply
    1,736.33x = 2,600.10 × 1,345.68
  4. Step 4: Simplify right side
    1,736.33x = 3,498,902.57
  5. Step 5: Solve for x
    x = 3,498,902.57/1,736.33
  6. Step 6: Final answer
    x = 2,015.12

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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.