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Finding the Fourth Proportional to 2,797.98, 4,197.50 and 1,153.64

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Solution

The fourth proportional to 2,797.98, 4,197.50 and 1,153.64 is: 1,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.98 : 4,197.50 = 1,153.64 : x
  2. Step 2: Convert to fraction form
    2,797.98/4,197.50 = 1,153.64/x
  3. Step 3: Cross multiply
    2,797.98x = 4,197.50 × 1,153.64
  4. Step 4: Simplify right side
    2,797.98x = 4,842,377.14
  5. Step 5: Solve for x
    x = 4,842,377.14/2,797.98
  6. Step 6: Final answer
    x = 1,730.67

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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.