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Finding the Fourth Proportional to 2,038.28, 3,057.26 and 998.14

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Solution

The fourth proportional to 2,038.28, 3,057.26 and 998.14 is: 1,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.28 : 3,057.26 = 998.14 : x
  2. Step 2: Convert to fraction form
    2,038.28/3,057.26 = 998.14/x
  3. Step 3: Cross multiply
    2,038.28x = 3,057.26 × 998.14
  4. Step 4: Simplify right side
    2,038.28x = 3,051,573.50
  5. Step 5: Solve for x
    x = 3,051,573.50/2,038.28
  6. Step 6: Final answer
    x = 1,497.13

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Why These Related Problems?

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