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Finding the Fourth Proportional to 2,002.62, 2,986.01 and 1,999.89

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Solution

The fourth proportional to 2,002.62, 2,986.01 and 1,999.89 is: 2,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.62 : 2,986.01 = 1,999.89 : x
  2. Step 2: Convert to fraction form
    2,002.62/2,986.01 = 1,999.89/x
  3. Step 3: Cross multiply
    2,002.62x = 2,986.01 × 1,999.89
  4. Step 4: Simplify right side
    2,002.62x = 5,971,700.29
  5. Step 5: Solve for x
    x = 5,971,700.29/2,002.62
  6. Step 6: Final answer
    x = 2,981.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.