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Finding the Fourth Proportional to 3,197.98, 4,797.68 and 1,117.50

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Solution

The fourth proportional to 3,197.98, 4,797.68 and 1,117.50 is: 1,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.98 : 4,797.68 = 1,117.50 : x
  2. Step 2: Convert to fraction form
    3,197.98/4,797.68 = 1,117.50/x
  3. Step 3: Cross multiply
    3,197.98x = 4,797.68 × 1,117.50
  4. Step 4: Simplify right side
    3,197.98x = 5,361,407.40
  5. Step 5: Solve for x
    x = 5,361,407.40/3,197.98
  6. Step 6: Final answer
    x = 1,676.50

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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.