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Finding the Fourth Proportional to 2,120.48, 3,185.60 and 2,033

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Solution

The fourth proportional to 2,120.48, 3,185.60 and 2,033 is: 3,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.48 : 3,185.60 = 2,033 : x
  2. Step 2: Convert to fraction form
    2,120.48/3,185.60 = 2,033/x
  3. Step 3: Cross multiply
    2,120.48x = 3,185.60 × 2,033
  4. Step 4: Simplify right side
    2,120.48x = 6,476,324.80
  5. Step 5: Solve for x
    x = 6,476,324.80/2,120.48
  6. Step 6: Final answer
    x = 3,054.18

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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.