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Finding the Fourth Proportional to 2,045.97, 3,068.06 and 746.54

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Solution

The fourth proportional to 2,045.97, 3,068.06 and 746.54 is: 1,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.97 : 3,068.06 = 746.54 : x
  2. Step 2: Convert to fraction form
    2,045.97/3,068.06 = 746.54/x
  3. Step 3: Cross multiply
    2,045.97x = 3,068.06 × 746.54
  4. Step 4: Simplify right side
    2,045.97x = 2,290,410.44
  5. Step 5: Solve for x
    x = 2,290,410.44/2,045.97
  6. Step 6: Final answer
    x = 1,119.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.