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Finding the Fourth Proportional to 2,032.98, 3,048.02 and 1,108.98

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Solution

The fourth proportional to 2,032.98, 3,048.02 and 1,108.98 is: 1,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.98 : 3,048.02 = 1,108.98 : x
  2. Step 2: Convert to fraction form
    2,032.98/3,048.02 = 1,108.98/x
  3. Step 3: Cross multiply
    2,032.98x = 3,048.02 × 1,108.98
  4. Step 4: Simplify right side
    2,032.98x = 3,380,193.22
  5. Step 5: Solve for x
    x = 3,380,193.22/2,032.98
  6. Step 6: Final answer
    x = 1,662.68

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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.