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Finding the Fourth Proportional to 2,768.04, 3,818.54 and 1,648.62

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Solution

The fourth proportional to 2,768.04, 3,818.54 and 1,648.62 is: 2,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.04 : 3,818.54 = 1,648.62 : x
  2. Step 2: Convert to fraction form
    2,768.04/3,818.54 = 1,648.62/x
  3. Step 3: Cross multiply
    2,768.04x = 3,818.54 × 1,648.62
  4. Step 4: Simplify right side
    2,768.04x = 6,295,313.17
  5. Step 5: Solve for x
    x = 6,295,313.17/2,768.04
  6. Step 6: Final answer
    x = 2,274.29

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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.