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Finding the Fourth Proportional to 2,083.50, 3,124.60 and 696.46

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Solution

The fourth proportional to 2,083.50, 3,124.60 and 696.46 is: 1,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.50 : 3,124.60 = 696.46 : x
  2. Step 2: Convert to fraction form
    2,083.50/3,124.60 = 696.46/x
  3. Step 3: Cross multiply
    2,083.50x = 3,124.60 × 696.46
  4. Step 4: Simplify right side
    2,083.50x = 2,176,158.92
  5. Step 5: Solve for x
    x = 2,176,158.92/2,083.50
  6. Step 6: Final answer
    x = 1,044.47

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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.