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Finding the Fourth Proportional to 2,516.99, 3,775.54 and 1,413.46

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Solution

The fourth proportional to 2,516.99, 3,775.54 and 1,413.46 is: 2,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.99 : 3,775.54 = 1,413.46 : x
  2. Step 2: Convert to fraction form
    2,516.99/3,775.54 = 1,413.46/x
  3. Step 3: Cross multiply
    2,516.99x = 3,775.54 × 1,413.46
  4. Step 4: Simplify right side
    2,516.99x = 5,336,579.94
  5. Step 5: Solve for x
    x = 5,336,579.94/2,516.99
  6. Step 6: Final answer
    x = 2,120.23

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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.