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Finding the Fourth Proportional to 2,084.01, 3,125.68 and 697.33

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Solution

The fourth proportional to 2,084.01, 3,125.68 and 697.33 is: 1,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.01 : 3,125.68 = 697.33 : x
  2. Step 2: Convert to fraction form
    2,084.01/3,125.68 = 697.33/x
  3. Step 3: Cross multiply
    2,084.01x = 3,125.68 × 697.33
  4. Step 4: Simplify right side
    2,084.01x = 2,179,630.43
  5. Step 5: Solve for x
    x = 2,179,630.43/2,084.01
  6. Step 6: Final answer
    x = 1,045.88

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1.5x scale

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.