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Finding the Fourth Proportional to 2,138.75, 3,208.46 and 678.24

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Solution

The fourth proportional to 2,138.75, 3,208.46 and 678.24 is: 1,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.75 : 3,208.46 = 678.24 : x
  2. Step 2: Convert to fraction form
    2,138.75/3,208.46 = 678.24/x
  3. Step 3: Cross multiply
    2,138.75x = 3,208.46 × 678.24
  4. Step 4: Simplify right side
    2,138.75x = 2,176,102.52
  5. Step 5: Solve for x
    x = 2,176,102.52/2,138.75
  6. Step 6: Final answer
    x = 1,017.47

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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.