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Finding the Fourth Proportional to 2,033.12, 3,051.45 and 993.89

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Solution

The fourth proportional to 2,033.12, 3,051.45 and 993.89 is: 1,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.12 : 3,051.45 = 993.89 : x
  2. Step 2: Convert to fraction form
    2,033.12/3,051.45 = 993.89/x
  3. Step 3: Cross multiply
    2,033.12x = 3,051.45 × 993.89
  4. Step 4: Simplify right side
    2,033.12x = 3,032,805.64
  5. Step 5: Solve for x
    x = 3,032,805.64/2,033.12
  6. Step 6: Final answer
    x = 1,491.70

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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.