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Finding the Fourth Proportional to 1,885.80, 2,828.69 and 1,328.22

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Solution

The fourth proportional to 1,885.80, 2,828.69 and 1,328.22 is: 1,992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.80 : 2,828.69 = 1,328.22 : x
  2. Step 2: Convert to fraction form
    1,885.80/2,828.69 = 1,328.22/x
  3. Step 3: Cross multiply
    1,885.80x = 2,828.69 × 1,328.22
  4. Step 4: Simplify right side
    1,885.80x = 3,757,108.49
  5. Step 5: Solve for x
    x = 3,757,108.49/1,885.80
  6. Step 6: Final answer
    x = 1,992.32

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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.