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Finding the Fourth Proportional to 2,048.45, 3,066.60 and 1,805.45

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Solution

The fourth proportional to 2,048.45, 3,066.60 and 1,805.45 is: 2,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.45 : 3,066.60 = 1,805.45 : x
  2. Step 2: Convert to fraction form
    2,048.45/3,066.60 = 1,805.45/x
  3. Step 3: Cross multiply
    2,048.45x = 3,066.60 × 1,805.45
  4. Step 4: Simplify right side
    2,048.45x = 5,536,592.97
  5. Step 5: Solve for x
    x = 5,536,592.97/2,048.45
  6. Step 6: Final answer
    x = 2,702.82

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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.