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Finding the Fourth Proportional to 2,000.25, 2,760.34 and 1,116

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Solution

The fourth proportional to 2,000.25, 2,760.34 and 1,116 is: 1,540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.25 : 2,760.34 = 1,116 : x
  2. Step 2: Convert to fraction form
    2,000.25/2,760.34 = 1,116/x
  3. Step 3: Cross multiply
    2,000.25x = 2,760.34 × 1,116
  4. Step 4: Simplify right side
    2,000.25x = 3,080,539.44
  5. Step 5: Solve for x
    x = 3,080,539.44/2,000.25
  6. Step 6: Final answer
    x = 1,540.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.