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Finding the Fourth Proportional to 3,396, 4,684.88 and 2,401.83

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Solution

The fourth proportional to 3,396, 4,684.88 and 2,401.83 is: 3,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396 : 4,684.88 = 2,401.83 : x
  2. Step 2: Convert to fraction form
    3,396/4,684.88 = 2,401.83/x
  3. Step 3: Cross multiply
    3,396x = 4,684.88 × 2,401.83
  4. Step 4: Simplify right side
    3,396x = 11,252,291.33
  5. Step 5: Solve for x
    x = 11,252,291.33/3,396
  6. Step 6: Final answer
    x = 3,313.40

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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.