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Finding the Fourth Proportional to 1,999.49, 2,999.23 and 700.65

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Solution

The fourth proportional to 1,999.49, 2,999.23 and 700.65 is: 1,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.49 : 2,999.23 = 700.65 : x
  2. Step 2: Convert to fraction form
    1,999.49/2,999.23 = 700.65/x
  3. Step 3: Cross multiply
    1,999.49x = 2,999.23 × 700.65
  4. Step 4: Simplify right side
    1,999.49x = 2,101,408.75
  5. Step 5: Solve for x
    x = 2,101,408.75/1,999.49
  6. Step 6: Final answer
    x = 1,050.98

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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.