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Finding the Fourth Proportional to 3,202.40, 4,798.20 and 2,106.20

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Solution

The fourth proportional to 3,202.40, 4,798.20 and 2,106.20 is: 3,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.40 : 4,798.20 = 2,106.20 : x
  2. Step 2: Convert to fraction form
    3,202.40/4,798.20 = 2,106.20/x
  3. Step 3: Cross multiply
    3,202.40x = 4,798.20 × 2,106.20
  4. Step 4: Simplify right side
    3,202.40x = 10,105,968.84
  5. Step 5: Solve for x
    x = 10,105,968.84/3,202.40
  6. Step 6: Final answer
    x = 3,155.75

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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.