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Finding the Fourth Proportional to 1,733.18, 2,600.84 and 808.26

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Solution

The fourth proportional to 1,733.18, 2,600.84 and 808.26 is: 1,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.18 : 2,600.84 = 808.26 : x
  2. Step 2: Convert to fraction form
    1,733.18/2,600.84 = 808.26/x
  3. Step 3: Cross multiply
    1,733.18x = 2,600.84 × 808.26
  4. Step 4: Simplify right side
    1,733.18x = 2,102,150.90
  5. Step 5: Solve for x
    x = 2,102,150.90/1,733.18
  6. Step 6: Final answer
    x = 1,212.89

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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.