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Finding the Fourth Proportional to 2,038.01, 3,057.00 and 651.33

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Solution

The fourth proportional to 2,038.01, 3,057.00 and 651.33 is: 976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.01 : 3,057.00 = 651.33 : x
  2. Step 2: Convert to fraction form
    2,038.01/3,057.00 = 651.33/x
  3. Step 3: Cross multiply
    2,038.01x = 3,057.00 × 651.33
  4. Step 4: Simplify right side
    2,038.01x = 1,991,112.55
  5. Step 5: Solve for x
    x = 1,991,112.55/2,038.01
  6. Step 6: Final answer
    x = 976.99

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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.