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Finding the Fourth Proportional to 2,042.03, 3,063.32 and 654.90

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Solution

The fourth proportional to 2,042.03, 3,063.32 and 654.90 is: 982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.03 : 3,063.32 = 654.90 : x
  2. Step 2: Convert to fraction form
    2,042.03/3,063.32 = 654.90/x
  3. Step 3: Cross multiply
    2,042.03x = 3,063.32 × 654.90
  4. Step 4: Simplify right side
    2,042.03x = 2,006,164.99
  5. Step 5: Solve for x
    x = 2,006,164.99/2,042.03
  6. Step 6: Final answer
    x = 982.44

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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.