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Finding the Fourth Proportional to 3,803.60, 5,704.92 and 1,206.80

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Solution

The fourth proportional to 3,803.60, 5,704.92 and 1,206.80 is: 1,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.60 : 5,704.92 = 1,206.80 : x
  2. Step 2: Convert to fraction form
    3,803.60/5,704.92 = 1,206.80/x
  3. Step 3: Cross multiply
    3,803.60x = 5,704.92 × 1,206.80
  4. Step 4: Simplify right side
    3,803.60x = 6,884,697.46
  5. Step 5: Solve for x
    x = 6,884,697.46/3,803.60
  6. Step 6: Final answer
    x = 1,810.05

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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.