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Finding the Fourth Proportional to 1,853.70, 2,781.64 and 684.51

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Solution

The fourth proportional to 1,853.70, 2,781.64 and 684.51 is: 1,027.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.70 : 2,781.64 = 684.51 : x
  2. Step 2: Convert to fraction form
    1,853.70/2,781.64 = 684.51/x
  3. Step 3: Cross multiply
    1,853.70x = 2,781.64 × 684.51
  4. Step 4: Simplify right side
    1,853.70x = 1,904,058.69
  5. Step 5: Solve for x
    x = 1,904,058.69/1,853.70
  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.