Home / 2,042.70-3,059.25-999.45

Finding the Fourth Proportional to 2,042.70, 3,059.25 and 999.45

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Solution

The fourth proportional to 2,042.70, 3,059.25 and 999.45 is: 1,496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.70 : 3,059.25 = 999.45 : x
  2. Step 2: Convert to fraction form
    2,042.70/3,059.25 = 999.45/x
  3. Step 3: Cross multiply
    2,042.70x = 3,059.25 × 999.45
  4. Step 4: Simplify right side
    2,042.70x = 3,057,567.41
  5. Step 5: Solve for x
    x = 3,057,567.41/2,042.70
  6. Step 6: Final answer
    x = 1,496.83

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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.