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Finding the Fourth Proportional to 1,983.51, 2,975.13 and 684.81

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Solution

The fourth proportional to 1,983.51, 2,975.13 and 684.81 is: 1,027.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.51 : 2,975.13 = 684.81 : x
  2. Step 2: Convert to fraction form
    1,983.51/2,975.13 = 684.81/x
  3. Step 3: Cross multiply
    1,983.51x = 2,975.13 × 684.81
  4. Step 4: Simplify right side
    1,983.51x = 2,037,398.78
  5. Step 5: Solve for x
    x = 2,037,398.78/1,983.51
  6. Step 6: Final answer
    x = 1,027.17

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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.