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Finding the Fourth Proportional to 2,000.30, 2,759.94 and 1,214.20

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Solution

The fourth proportional to 2,000.30, 2,759.94 and 1,214.20 is: 1,675.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.30 : 2,759.94 = 1,214.20 : x
  2. Step 2: Convert to fraction form
    2,000.30/2,759.94 = 1,214.20/x
  3. Step 3: Cross multiply
    2,000.30x = 2,759.94 × 1,214.20
  4. Step 4: Simplify right side
    2,000.30x = 3,351,119.15
  5. Step 5: Solve for x
    x = 3,351,119.15/2,000.30
  6. Step 6: Final answer
    x = 1,675.31

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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.