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Finding the Fourth Proportional to 1,733.76, 2,600.17 and 808.40

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Solution

The fourth proportional to 1,733.76, 2,600.17 and 808.40 is: 1,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.76 : 2,600.17 = 808.40 : x
  2. Step 2: Convert to fraction form
    1,733.76/2,600.17 = 808.40/x
  3. Step 3: Cross multiply
    1,733.76x = 2,600.17 × 808.40
  4. Step 4: Simplify right side
    1,733.76x = 2,101,981.91
  5. Step 5: Solve for x
    x = 2,101,981.91/1,733.76
  6. Step 6: Final answer
    x = 1,212.38

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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.