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Finding the Fourth Proportional to 2,462.92, 3,413.50 and 2,416.84

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Solution

The fourth proportional to 2,462.92, 3,413.50 and 2,416.84 is: 3,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.92 : 3,413.50 = 2,416.84 : x
  2. Step 2: Convert to fraction form
    2,462.92/3,413.50 = 2,416.84/x
  3. Step 3: Cross multiply
    2,462.92x = 3,413.50 × 2,416.84
  4. Step 4: Simplify right side
    2,462.92x = 8,249,883.34
  5. Step 5: Solve for x
    x = 8,249,883.34/2,462.92
  6. Step 6: Final answer
    x = 3,349.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.