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Finding the Fourth Proportional to 2,441, 3,369.66 and 1,602.92

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Solution

The fourth proportional to 2,441, 3,369.66 and 1,602.92 is: 2,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441 : 3,369.66 = 1,602.92 : x
  2. Step 2: Convert to fraction form
    2,441/3,369.66 = 1,602.92/x
  3. Step 3: Cross multiply
    2,441x = 3,369.66 × 1,602.92
  4. Step 4: Simplify right side
    2,441x = 5,401,295.41
  5. Step 5: Solve for x
    x = 5,401,295.41/2,441
  6. Step 6: Final answer
    x = 2,212.74

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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.