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Finding the Fourth Proportional to 1,206.04, 1,809.60 and 1,202.80

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Solution

The fourth proportional to 1,206.04, 1,809.60 and 1,202.80 is: 1,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.04 : 1,809.60 = 1,202.80 : x
  2. Step 2: Convert to fraction form
    1,206.04/1,809.60 = 1,202.80/x
  3. Step 3: Cross multiply
    1,206.04x = 1,809.60 × 1,202.80
  4. Step 4: Simplify right side
    1,206.04x = 2,176,586.88
  5. Step 5: Solve for x
    x = 2,176,586.88/1,206.04
  6. Step 6: Final answer
    x = 1,804.74

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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.