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Finding the Fourth Proportional to 2,242.16, 3,364.76 and 856.66

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Solution

The fourth proportional to 2,242.16, 3,364.76 and 856.66 is: 1,285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.16 : 3,364.76 = 856.66 : x
  2. Step 2: Convert to fraction form
    2,242.16/3,364.76 = 856.66/x
  3. Step 3: Cross multiply
    2,242.16x = 3,364.76 × 856.66
  4. Step 4: Simplify right side
    2,242.16x = 2,882,449.03
  5. Step 5: Solve for x
    x = 2,882,449.03/2,242.16
  6. Step 6: Final answer
    x = 1,285.57

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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.