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Finding the Fourth Proportional to 2,030.67, 3,038.72 and 1,997.87

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Solution

The fourth proportional to 2,030.67, 3,038.72 and 1,997.87 is: 2,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.67 : 3,038.72 = 1,997.87 : x
  2. Step 2: Convert to fraction form
    2,030.67/3,038.72 = 1,997.87/x
  3. Step 3: Cross multiply
    2,030.67x = 3,038.72 × 1,997.87
  4. Step 4: Simplify right side
    2,030.67x = 6,070,942.34
  5. Step 5: Solve for x
    x = 6,070,942.34/2,030.67
  6. Step 6: Final answer
    x = 2,989.63

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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.