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Finding the Fourth Proportional to 2,449.67, 3,669.64 and 1,477.67

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Solution

The fourth proportional to 2,449.67, 3,669.64 and 1,477.67 is: 2,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.67 : 3,669.64 = 1,477.67 : x
  2. Step 2: Convert to fraction form
    2,449.67/3,669.64 = 1,477.67/x
  3. Step 3: Cross multiply
    2,449.67x = 3,669.64 × 1,477.67
  4. Step 4: Simplify right side
    2,449.67x = 5,422,494.90
  5. Step 5: Solve for x
    x = 5,422,494.90/2,449.67
  6. Step 6: Final answer
    x = 2,213.57

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1.5x scale

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.