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Finding the Fourth Proportional to 2,276.60, 3,414.74 and 889.67

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Solution

The fourth proportional to 2,276.60, 3,414.74 and 889.67 is: 1,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.60 : 3,414.74 = 889.67 : x
  2. Step 2: Convert to fraction form
    2,276.60/3,414.74 = 889.67/x
  3. Step 3: Cross multiply
    2,276.60x = 3,414.74 × 889.67
  4. Step 4: Simplify right side
    2,276.60x = 3,037,995.82
  5. Step 5: Solve for x
    x = 3,037,995.82/2,276.60
  6. Step 6: Final answer
    x = 1,334.45

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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.