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Finding the Fourth Proportional to 2,001.68, 3,002.88 and 685.37

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Solution

The fourth proportional to 2,001.68, 3,002.88 and 685.37 is: 1,028.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.68 : 3,002.88 = 685.37 : x
  2. Step 2: Convert to fraction form
    2,001.68/3,002.88 = 685.37/x
  3. Step 3: Cross multiply
    2,001.68x = 3,002.88 × 685.37
  4. Step 4: Simplify right side
    2,001.68x = 2,058,068.85
  5. Step 5: Solve for x
    x = 2,058,068.85/2,001.68
  6. Step 6: Final answer
    x = 1,028.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.