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Finding the Fourth Proportional to 3,441.90, 5,163.12 and 976.94

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Solution

The fourth proportional to 3,441.90, 5,163.12 and 976.94 is: 1,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.90 : 5,163.12 = 976.94 : x
  2. Step 2: Convert to fraction form
    3,441.90/5,163.12 = 976.94/x
  3. Step 3: Cross multiply
    3,441.90x = 5,163.12 × 976.94
  4. Step 4: Simplify right side
    3,441.90x = 5,044,058.45
  5. Step 5: Solve for x
    x = 5,044,058.45/3,441.90
  6. Step 6: Final answer
    x = 1,465.49

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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.