Home / 2,509.06-3,760.88-1,413.14

Finding the Fourth Proportional to 2,509.06, 3,760.88 and 1,413.14

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Solution

The fourth proportional to 2,509.06, 3,760.88 and 1,413.14 is: 2,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.06 : 3,760.88 = 1,413.14 : x
  2. Step 2: Convert to fraction form
    2,509.06/3,760.88 = 1,413.14/x
  3. Step 3: Cross multiply
    2,509.06x = 3,760.88 × 1,413.14
  4. Step 4: Simplify right side
    2,509.06x = 5,314,649.96
  5. Step 5: Solve for x
    x = 5,314,649.96/2,509.06
  6. Step 6: Final answer
    x = 2,118.18

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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.