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Finding the Fourth Proportional to 2,048.92, 2,824.24 and 1,617.04

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Solution

The fourth proportional to 2,048.92, 2,824.24 and 1,617.04 is: 2,228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.92 : 2,824.24 = 1,617.04 : x
  2. Step 2: Convert to fraction form
    2,048.92/2,824.24 = 1,617.04/x
  3. Step 3: Cross multiply
    2,048.92x = 2,824.24 × 1,617.04
  4. Step 4: Simplify right side
    2,048.92x = 4,566,909.05
  5. Step 5: Solve for x
    x = 4,566,909.05/2,048.92
  6. Step 6: Final answer
    x = 2,228.93

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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.