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Finding the Fourth Proportional to 3,109.92, 4,658.40 and 2,413.68

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Solution

The fourth proportional to 3,109.92, 4,658.40 and 2,413.68 is: 3,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.92 : 4,658.40 = 2,413.68 : x
  2. Step 2: Convert to fraction form
    3,109.92/4,658.40 = 2,413.68/x
  3. Step 3: Cross multiply
    3,109.92x = 4,658.40 × 2,413.68
  4. Step 4: Simplify right side
    3,109.92x = 11,243,886.91
  5. Step 5: Solve for x
    x = 11,243,886.91/3,109.92
  6. Step 6: Final answer
    x = 3,615.49

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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.