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Finding the Fourth Proportional to 2,807.75, 4,211.82 and 859.70

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Solution

The fourth proportional to 2,807.75, 4,211.82 and 859.70 is: 1,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.75 : 4,211.82 = 859.70 : x
  2. Step 2: Convert to fraction form
    2,807.75/4,211.82 = 859.70/x
  3. Step 3: Cross multiply
    2,807.75x = 4,211.82 × 859.70
  4. Step 4: Simplify right side
    2,807.75x = 3,620,880.59
  5. Step 5: Solve for x
    x = 3,620,880.59/2,807.75
  6. Step 6: Final answer
    x = 1,289.60

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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.