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Finding the Fourth Proportional to 3,461.76, 4,775.04 and 2,413.44

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Solution

The fourth proportional to 3,461.76, 4,775.04 and 2,413.44 is: 3,329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.76 : 4,775.04 = 2,413.44 : x
  2. Step 2: Convert to fraction form
    3,461.76/4,775.04 = 2,413.44/x
  3. Step 3: Cross multiply
    3,461.76x = 4,775.04 × 2,413.44
  4. Step 4: Simplify right side
    3,461.76x = 11,524,272.54
  5. Step 5: Solve for x
    x = 11,524,272.54/3,461.76
  6. Step 6: Final answer
    x = 3,329.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.