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Finding the Fourth Proportional to 2,038.19, 3,057.29 and 499.19

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Solution

The fourth proportional to 2,038.19, 3,057.29 and 499.19 is: 748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.19 : 3,057.29 = 499.19 : x
  2. Step 2: Convert to fraction form
    2,038.19/3,057.29 = 499.19/x
  3. Step 3: Cross multiply
    2,038.19x = 3,057.29 × 499.19
  4. Step 4: Simplify right side
    2,038.19x = 1,526,150.81
  5. Step 5: Solve for x
    x = 1,526,150.81/2,038.19
  6. Step 6: Final answer
    x = 748.78

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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.