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Finding the Fourth Proportional to 2,028.33, 3,042.80 and 712.44

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Solution

The fourth proportional to 2,028.33, 3,042.80 and 712.44 is: 1,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.33 : 3,042.80 = 712.44 : x
  2. Step 2: Convert to fraction form
    2,028.33/3,042.80 = 712.44/x
  3. Step 3: Cross multiply
    2,028.33x = 3,042.80 × 712.44
  4. Step 4: Simplify right side
    2,028.33x = 2,167,808.87
  5. Step 5: Solve for x
    x = 2,167,808.87/2,028.33
  6. Step 6: Final answer
    x = 1,068.77

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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.