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Finding the Fourth Proportional to 2,048.71, 3,073.41 and 816.15

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Solution

The fourth proportional to 2,048.71, 3,073.41 and 816.15 is: 1,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.71 : 3,073.41 = 816.15 : x
  2. Step 2: Convert to fraction form
    2,048.71/3,073.41 = 816.15/x
  3. Step 3: Cross multiply
    2,048.71x = 3,073.41 × 816.15
  4. Step 4: Simplify right side
    2,048.71x = 2,508,348.20
  5. Step 5: Solve for x
    x = 2,508,348.20/2,048.71
  6. Step 6: Final answer
    x = 1,224.35

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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.