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Finding the Fourth Proportional to 2,001.30, 2,998.35 and 1,770.90

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Solution

The fourth proportional to 2,001.30, 2,998.35 and 1,770.90 is: 2,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.30 : 2,998.35 = 1,770.90 : x
  2. Step 2: Convert to fraction form
    2,001.30/2,998.35 = 1,770.90/x
  3. Step 3: Cross multiply
    2,001.30x = 2,998.35 × 1,770.90
  4. Step 4: Simplify right side
    2,001.30x = 5,309,778.02
  5. Step 5: Solve for x
    x = 5,309,778.02/2,001.30
  6. Step 6: Final answer
    x = 2,653.16

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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.