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Finding the Fourth Proportional to 2,046.63, 3,068.73 and 746.58

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Solution

The fourth proportional to 2,046.63, 3,068.73 and 746.58 is: 1,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.63 : 3,068.73 = 746.58 : x
  2. Step 2: Convert to fraction form
    2,046.63/3,068.73 = 746.58/x
  3. Step 3: Cross multiply
    2,046.63x = 3,068.73 × 746.58
  4. Step 4: Simplify right side
    2,046.63x = 2,291,052.44
  5. Step 5: Solve for x
    x = 2,291,052.44/2,046.63
  6. Step 6: Final answer
    x = 1,119.43

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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.