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Finding the Fourth Proportional to 1,206.60, 1,811.40 and 1,138.32

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Solution

The fourth proportional to 1,206.60, 1,811.40 and 1,138.32 is: 1,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.60 : 1,811.40 = 1,138.32 : x
  2. Step 2: Convert to fraction form
    1,206.60/1,811.40 = 1,138.32/x
  3. Step 3: Cross multiply
    1,206.60x = 1,811.40 × 1,138.32
  4. Step 4: Simplify right side
    1,206.60x = 2,061,952.85
  5. Step 5: Solve for x
    x = 2,061,952.85/1,206.60
  6. Step 6: Final answer
    x = 1,708.90

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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.