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Finding the Fourth Proportional to 2,084.69, 3,125.84 and 697.66

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Solution

The fourth proportional to 2,084.69, 3,125.84 and 697.66 is: 1,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.69 : 3,125.84 = 697.66 : x
  2. Step 2: Convert to fraction form
    2,084.69/3,125.84 = 697.66/x
  3. Step 3: Cross multiply
    2,084.69x = 3,125.84 × 697.66
  4. Step 4: Simplify right side
    2,084.69x = 2,180,783.74
  5. Step 5: Solve for x
    x = 2,180,783.74/2,084.69
  6. Step 6: Final answer
    x = 1,046.10

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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.