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Finding the Fourth Proportional to 2,591.75, 3,576.63 and 1,412.80

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Solution

The fourth proportional to 2,591.75, 3,576.63 and 1,412.80 is: 1,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.75 : 3,576.63 = 1,412.80 : x
  2. Step 2: Convert to fraction form
    2,591.75/3,576.63 = 1,412.80/x
  3. Step 3: Cross multiply
    2,591.75x = 3,576.63 × 1,412.80
  4. Step 4: Simplify right side
    2,591.75x = 5,053,053.92
  5. Step 5: Solve for x
    x = 5,053,053.92/2,591.75
  6. Step 6: Final answer
    x = 1,949.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.