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Finding the Fourth Proportional to 2,000.88, 2,999.43 and 701.51

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Solution

The fourth proportional to 2,000.88, 2,999.43 and 701.51 is: 1,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.88 : 2,999.43 = 701.51 : x
  2. Step 2: Convert to fraction form
    2,000.88/2,999.43 = 701.51/x
  3. Step 3: Cross multiply
    2,000.88x = 2,999.43 × 701.51
  4. Step 4: Simplify right side
    2,000.88x = 2,104,115.14
  5. Step 5: Solve for x
    x = 2,104,115.14/2,000.88
  6. Step 6: Final answer
    x = 1,051.59

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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.