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Finding the Fourth Proportional to 2,079.75, 3,120.63 and 848.01

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Solution

The fourth proportional to 2,079.75, 3,120.63 and 848.01 is: 1,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.75 : 3,120.63 = 848.01 : x
  2. Step 2: Convert to fraction form
    2,079.75/3,120.63 = 848.01/x
  3. Step 3: Cross multiply
    2,079.75x = 3,120.63 × 848.01
  4. Step 4: Simplify right side
    2,079.75x = 2,646,325.45
  5. Step 5: Solve for x
    x = 2,646,325.45/2,079.75
  6. Step 6: Final answer
    x = 1,272.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.