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Finding the Fourth Proportional to 2,106.40, 3,163.20 and 2,041.60

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Solution

The fourth proportional to 2,106.40, 3,163.20 and 2,041.60 is: 3,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.40 : 3,163.20 = 2,041.60 : x
  2. Step 2: Convert to fraction form
    2,106.40/3,163.20 = 2,041.60/x
  3. Step 3: Cross multiply
    2,106.40x = 3,163.20 × 2,041.60
  4. Step 4: Simplify right side
    2,106.40x = 6,457,989.12
  5. Step 5: Solve for x
    x = 6,457,989.12/2,106.40
  6. Step 6: Final answer
    x = 3,065.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.