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Finding the Fourth Proportional to 2,083.66, 3,125.80 and 696.59

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Solution

The fourth proportional to 2,083.66, 3,125.80 and 696.59 is: 1,044.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.66 : 3,125.80 = 696.59 : x
  2. Step 2: Convert to fraction form
    2,083.66/3,125.80 = 696.59/x
  3. Step 3: Cross multiply
    2,083.66x = 3,125.80 × 696.59
  4. Step 4: Simplify right side
    2,083.66x = 2,177,401.02
  5. Step 5: Solve for x
    x = 2,177,401.02/2,083.66
  6. Step 6: Final answer
    x = 1,044.99

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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.