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Finding the Fourth Proportional to 2,313.51, 3,190.59 and 1,685.51

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Solution

The fourth proportional to 2,313.51, 3,190.59 and 1,685.51 is: 2,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.51 : 3,190.59 = 1,685.51 : x
  2. Step 2: Convert to fraction form
    2,313.51/3,190.59 = 1,685.51/x
  3. Step 3: Cross multiply
    2,313.51x = 3,190.59 × 1,685.51
  4. Step 4: Simplify right side
    2,313.51x = 5,377,767.36
  5. Step 5: Solve for x
    x = 5,377,767.36/2,313.51
  6. Step 6: Final answer
    x = 2,324.50

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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.