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Finding the Fourth Proportional to 1,999.94, 3,001.32 and 701.51

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Solution

The fourth proportional to 1,999.94, 3,001.32 and 701.51 is: 1,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.94 : 3,001.32 = 701.51 : x
  2. Step 2: Convert to fraction form
    1,999.94/3,001.32 = 701.51/x
  3. Step 3: Cross multiply
    1,999.94x = 3,001.32 × 701.51
  4. Step 4: Simplify right side
    1,999.94x = 2,105,440.99
  5. Step 5: Solve for x
    x = 2,105,440.99/1,999.94
  6. Step 6: Final answer
    x = 1,052.75

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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.