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Finding the Fourth Proportional to 2,980.93, 4,469.95 and 900.55

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Solution

The fourth proportional to 2,980.93, 4,469.95 and 900.55 is: 1,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.93 : 4,469.95 = 900.55 : x
  2. Step 2: Convert to fraction form
    2,980.93/4,469.95 = 900.55/x
  3. Step 3: Cross multiply
    2,980.93x = 4,469.95 × 900.55
  4. Step 4: Simplify right side
    2,980.93x = 4,025,413.47
  5. Step 5: Solve for x
    x = 4,025,413.47/2,980.93
  6. Step 6: Final answer
    x = 1,350.39

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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.