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Finding the Fourth Proportional to 1,712.04, 2,568 and 833.88

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Solution

The fourth proportional to 1,712.04, 2,568 and 833.88 is: 1,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.04 : 2,568 = 833.88 : x
  2. Step 2: Convert to fraction form
    1,712.04/2,568 = 833.88/x
  3. Step 3: Cross multiply
    1,712.04x = 2,568 × 833.88
  4. Step 4: Simplify right side
    1,712.04x = 2,141,403.84
  5. Step 5: Solve for x
    x = 2,141,403.84/1,712.04
  6. Step 6: Final answer
    x = 1,250.79

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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.