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Finding the Fourth Proportional to 2,210.20, 3,046.80 and 1,619.80

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Solution

The fourth proportional to 2,210.20, 3,046.80 and 1,619.80 is: 2,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.20 : 3,046.80 = 1,619.80 : x
  2. Step 2: Convert to fraction form
    2,210.20/3,046.80 = 1,619.80/x
  3. Step 3: Cross multiply
    2,210.20x = 3,046.80 × 1,619.80
  4. Step 4: Simplify right side
    2,210.20x = 4,935,206.64
  5. Step 5: Solve for x
    x = 4,935,206.64/2,210.20
  6. Step 6: Final answer
    x = 2,232.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.