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Finding the Fourth Proportional to 2,022.06, 3,030.33 and 923.82

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Solution

The fourth proportional to 2,022.06, 3,030.33 and 923.82 is: 1,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.06 : 3,030.33 = 923.82 : x
  2. Step 2: Convert to fraction form
    2,022.06/3,030.33 = 923.82/x
  3. Step 3: Cross multiply
    2,022.06x = 3,030.33 × 923.82
  4. Step 4: Simplify right side
    2,022.06x = 2,799,479.46
  5. Step 5: Solve for x
    x = 2,799,479.46/2,022.06
  6. Step 6: Final answer
    x = 1,384.47

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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.