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Finding the Fourth Proportional to 2,046.36, 3,068.04 and 950.16

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Solution

The fourth proportional to 2,046.36, 3,068.04 and 950.16 is: 1,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.36 : 3,068.04 = 950.16 : x
  2. Step 2: Convert to fraction form
    2,046.36/3,068.04 = 950.16/x
  3. Step 3: Cross multiply
    2,046.36x = 3,068.04 × 950.16
  4. Step 4: Simplify right side
    2,046.36x = 2,915,128.89
  5. Step 5: Solve for x
    x = 2,915,128.89/2,046.36
  6. Step 6: Final answer
    x = 1,424.54

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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.