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Finding the Fourth Proportional to 2,190.80, 3,199.72 and 2,190.80

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Solution

The fourth proportional to 2,190.80, 3,199.72 and 2,190.80 is: 3,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.80 : 3,199.72 = 2,190.80 : x
  2. Step 2: Convert to fraction form
    2,190.80/3,199.72 = 2,190.80/x
  3. Step 3: Cross multiply
    2,190.80x = 3,199.72 × 2,190.80
  4. Step 4: Simplify right side
    2,190.80x = 7,009,946.58
  5. Step 5: Solve for x
    x = 7,009,946.58/2,190.80
  6. Step 6: Final answer
    x = 3,199.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.