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Finding the Fourth Proportional to 3,619.40, 4,995.61 and 2,048.00

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Solution

The fourth proportional to 3,619.40, 4,995.61 and 2,048.00 is: 2,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.40 : 4,995.61 = 2,048.00 : x
  2. Step 2: Convert to fraction form
    3,619.40/4,995.61 = 2,048.00/x
  3. Step 3: Cross multiply
    3,619.40x = 4,995.61 × 2,048.00
  4. Step 4: Simplify right side
    3,619.40x = 10,230,979.18
  5. Step 5: Solve for x
    x = 10,230,979.18/3,619.40
  6. Step 6: Final answer
    x = 2,826.71

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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.