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Finding the Fourth Proportional to 1,588.91, 2,383.77 and 857.48

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Solution

The fourth proportional to 1,588.91, 2,383.77 and 857.48 is: 1,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.91 : 2,383.77 = 857.48 : x
  2. Step 2: Convert to fraction form
    1,588.91/2,383.77 = 857.48/x
  3. Step 3: Cross multiply
    1,588.91x = 2,383.77 × 857.48
  4. Step 4: Simplify right side
    1,588.91x = 2,044,035.10
  5. Step 5: Solve for x
    x = 2,044,035.10/1,588.91
  6. Step 6: Final answer
    x = 1,286.44

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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.