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Finding the Fourth Proportional to 2,038.35, 3,057.99 and 739.82

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Solution

The fourth proportional to 2,038.35, 3,057.99 and 739.82 is: 1,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.35 : 3,057.99 = 739.82 : x
  2. Step 2: Convert to fraction form
    2,038.35/3,057.99 = 739.82/x
  3. Step 3: Cross multiply
    2,038.35x = 3,057.99 × 739.82
  4. Step 4: Simplify right side
    2,038.35x = 2,262,344.10
  5. Step 5: Solve for x
    x = 2,262,344.10/2,038.35
  6. Step 6: Final answer
    x = 1,109.89

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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.