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Finding the Fourth Proportional to 2,038.25, 3,057.41 and 499.25

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Solution

The fourth proportional to 2,038.25, 3,057.41 and 499.25 is: 748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.25 : 3,057.41 = 499.25 : x
  2. Step 2: Convert to fraction form
    2,038.25/3,057.41 = 499.25/x
  3. Step 3: Cross multiply
    2,038.25x = 3,057.41 × 499.25
  4. Step 4: Simplify right side
    2,038.25x = 1,526,409.45
  5. Step 5: Solve for x
    x = 1,526,409.45/2,038.25
  6. Step 6: Final answer
    x = 748.88

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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.