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Finding the Fourth Proportional to 2,675.14, 4,013.36 and 920.18

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Solution

The fourth proportional to 2,675.14, 4,013.36 and 920.18 is: 1,380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.14 : 4,013.36 = 920.18 : x
  2. Step 2: Convert to fraction form
    2,675.14/4,013.36 = 920.18/x
  3. Step 3: Cross multiply
    2,675.14x = 4,013.36 × 920.18
  4. Step 4: Simplify right side
    2,675.14x = 3,693,005.09
  5. Step 5: Solve for x
    x = 3,693,005.09/2,675.14
  6. Step 6: Final answer
    x = 1,380.49

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1.5x scale

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.