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Finding the Fourth Proportional to 2,081.08, 3,120.16 and 848.12

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Solution

The fourth proportional to 2,081.08, 3,120.16 and 848.12 is: 1,271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.08 : 3,120.16 = 848.12 : x
  2. Step 2: Convert to fraction form
    2,081.08/3,120.16 = 848.12/x
  3. Step 3: Cross multiply
    2,081.08x = 3,120.16 × 848.12
  4. Step 4: Simplify right side
    2,081.08x = 2,646,270.10
  5. Step 5: Solve for x
    x = 2,646,270.10/2,081.08
  6. Step 6: Final answer
    x = 1,271.58

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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.