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Finding the Fourth Proportional to 2,046.93, 3,065.14 and 1,351.45

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Solution

The fourth proportional to 2,046.93, 3,065.14 and 1,351.45 is: 2,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.93 : 3,065.14 = 1,351.45 : x
  2. Step 2: Convert to fraction form
    2,046.93/3,065.14 = 1,351.45/x
  3. Step 3: Cross multiply
    2,046.93x = 3,065.14 × 1,351.45
  4. Step 4: Simplify right side
    2,046.93x = 4,142,383.45
  5. Step 5: Solve for x
    x = 4,142,383.45/2,046.93
  6. Step 6: Final answer
    x = 2,023.71

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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.