Home / 2,038.53-3,059.34-1,413.48

Finding the Fourth Proportional to 2,038.53, 3,059.34 and 1,413.48

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Solution

The fourth proportional to 2,038.53, 3,059.34 and 1,413.48 is: 2,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.53 : 3,059.34 = 1,413.48 : x
  2. Step 2: Convert to fraction form
    2,038.53/3,059.34 = 1,413.48/x
  3. Step 3: Cross multiply
    2,038.53x = 3,059.34 × 1,413.48
  4. Step 4: Simplify right side
    2,038.53x = 4,324,315.90
  5. Step 5: Solve for x
    x = 4,324,315.90/2,038.53
  6. Step 6: Final answer
    x = 2,121.29

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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.