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Finding the Fourth Proportional to 3,157.20, 4,731.80 and 1,206.80

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Solution

The fourth proportional to 3,157.20, 4,731.80 and 1,206.80 is: 1,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.20 : 4,731.80 = 1,206.80 : x
  2. Step 2: Convert to fraction form
    3,157.20/4,731.80 = 1,206.80/x
  3. Step 3: Cross multiply
    3,157.20x = 4,731.80 × 1,206.80
  4. Step 4: Simplify right side
    3,157.20x = 5,710,336.24
  5. Step 5: Solve for x
    x = 5,710,336.24/3,157.20
  6. Step 6: Final answer
    x = 1,808.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.