Home / 2,048.24-3,072.36-1,766.36

Finding the Fourth Proportional to 2,048.24, 3,072.36 and 1,766.36

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Solution

The fourth proportional to 2,048.24, 3,072.36 and 1,766.36 is: 2,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.24 : 3,072.36 = 1,766.36 : x
  2. Step 2: Convert to fraction form
    2,048.24/3,072.36 = 1,766.36/x
  3. Step 3: Cross multiply
    2,048.24x = 3,072.36 × 1,766.36
  4. Step 4: Simplify right side
    2,048.24x = 5,426,893.81
  5. Step 5: Solve for x
    x = 5,426,893.81/2,048.24
  6. Step 6: Final answer
    x = 2,649.54

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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.