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Finding the Fourth Proportional to 2,021.68, 3,029.58 and 923.32

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Solution

The fourth proportional to 2,021.68, 3,029.58 and 923.32 is: 1,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.68 : 3,029.58 = 923.32 : x
  2. Step 2: Convert to fraction form
    2,021.68/3,029.58 = 923.32/x
  3. Step 3: Cross multiply
    2,021.68x = 3,029.58 × 923.32
  4. Step 4: Simplify right side
    2,021.68x = 2,797,271.81
  5. Step 5: Solve for x
    x = 2,797,271.81/2,021.68
  6. Step 6: Final answer
    x = 1,383.64

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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.