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Finding the Fourth Proportional to 2,109.06, 3,163.95 and 954.18

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Solution

The fourth proportional to 2,109.06, 3,163.95 and 954.18 is: 1,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.06 : 3,163.95 = 954.18 : x
  2. Step 2: Convert to fraction form
    2,109.06/3,163.95 = 954.18/x
  3. Step 3: Cross multiply
    2,109.06x = 3,163.95 × 954.18
  4. Step 4: Simplify right side
    2,109.06x = 3,018,977.81
  5. Step 5: Solve for x
    x = 3,018,977.81/2,109.06
  6. Step 6: Final answer
    x = 1,431.43

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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.