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Finding the Fourth Proportional to 2,243.80, 3,364.62 and 856.72

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Solution

The fourth proportional to 2,243.80, 3,364.62 and 856.72 is: 1,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.80 : 3,364.62 = 856.72 : x
  2. Step 2: Convert to fraction form
    2,243.80/3,364.62 = 856.72/x
  3. Step 3: Cross multiply
    2,243.80x = 3,364.62 × 856.72
  4. Step 4: Simplify right side
    2,243.80x = 2,882,537.25
  5. Step 5: Solve for x
    x = 2,882,537.25/2,243.80
  6. Step 6: Final answer
    x = 1,284.67

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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.