Home / 2,548.80-3,823.32-1,314.54

Finding the Fourth Proportional to 2,548.80, 3,823.32 and 1,314.54

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Solution

The fourth proportional to 2,548.80, 3,823.32 and 1,314.54 is: 1,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.80 : 3,823.32 = 1,314.54 : x
  2. Step 2: Convert to fraction form
    2,548.80/3,823.32 = 1,314.54/x
  3. Step 3: Cross multiply
    2,548.80x = 3,823.32 × 1,314.54
  4. Step 4: Simplify right side
    2,548.80x = 5,025,907.07
  5. Step 5: Solve for x
    x = 5,025,907.07/2,548.80
  6. Step 6: Final answer
    x = 1,971.87

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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.