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Finding the Fourth Proportional to 2,974.66, 4,461.84 and 1,413.52

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Solution

The fourth proportional to 2,974.66, 4,461.84 and 1,413.52 is: 2,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.66 : 4,461.84 = 1,413.52 : x
  2. Step 2: Convert to fraction form
    2,974.66/4,461.84 = 1,413.52/x
  3. Step 3: Cross multiply
    2,974.66x = 4,461.84 × 1,413.52
  4. Step 4: Simplify right side
    2,974.66x = 6,306,900.08
  5. Step 5: Solve for x
    x = 6,306,900.08/2,974.66
  6. Step 6: Final answer
    x = 2,120.21

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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.