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Finding the Fourth Proportional to 1,803.55, 2,701.82 and 1,185.39

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Solution

The fourth proportional to 1,803.55, 2,701.82 and 1,185.39 is: 1,775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.55 : 2,701.82 = 1,185.39 : x
  2. Step 2: Convert to fraction form
    1,803.55/2,701.82 = 1,185.39/x
  3. Step 3: Cross multiply
    1,803.55x = 2,701.82 × 1,185.39
  4. Step 4: Simplify right side
    1,803.55x = 3,202,710.41
  5. Step 5: Solve for x
    x = 3,202,710.41/1,803.55
  6. Step 6: Final answer
    x = 1,775.78

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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.