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Finding the Fourth Proportional to 2,046.96, 3,070.44 and 748.13

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Solution

The fourth proportional to 2,046.96, 3,070.44 and 748.13 is: 1,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.96 : 3,070.44 = 748.13 : x
  2. Step 2: Convert to fraction form
    2,046.96/3,070.44 = 748.13/x
  3. Step 3: Cross multiply
    2,046.96x = 3,070.44 × 748.13
  4. Step 4: Simplify right side
    2,046.96x = 2,297,072.93
  5. Step 5: Solve for x
    x = 2,297,072.93/2,046.96
  6. Step 6: Final answer
    x = 1,122.19

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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.