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Finding the Fourth Proportional to 2,046.77, 3,068.58 and 950.33

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Solution

The fourth proportional to 2,046.77, 3,068.58 and 950.33 is: 1,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.77 : 3,068.58 = 950.33 : x
  2. Step 2: Convert to fraction form
    2,046.77/3,068.58 = 950.33/x
  3. Step 3: Cross multiply
    2,046.77x = 3,068.58 × 950.33
  4. Step 4: Simplify right side
    2,046.77x = 2,916,174.87
  5. Step 5: Solve for x
    x = 2,916,174.87/2,046.77
  6. Step 6: Final answer
    x = 1,424.77

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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.