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Finding the Fourth Proportional to 2,052.23, 3,078.75 and 665.31

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Solution

The fourth proportional to 2,052.23, 3,078.75 and 665.31 is: 998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.23 : 3,078.75 = 665.31 : x
  2. Step 2: Convert to fraction form
    2,052.23/3,078.75 = 665.31/x
  3. Step 3: Cross multiply
    2,052.23x = 3,078.75 × 665.31
  4. Step 4: Simplify right side
    2,052.23x = 2,048,323.16
  5. Step 5: Solve for x
    x = 2,048,323.16/2,052.23
  6. Step 6: Final answer
    x = 998.10

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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.