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Finding the Fourth Proportional to 4,123.46, 6,186.22 and 1,201.80

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Solution

The fourth proportional to 4,123.46, 6,186.22 and 1,201.80 is: 1,803.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.46 : 6,186.22 = 1,201.80 : x
  2. Step 2: Convert to fraction form
    4,123.46/6,186.22 = 1,201.80/x
  3. Step 3: Cross multiply
    4,123.46x = 6,186.22 × 1,201.80
  4. Step 4: Simplify right side
    4,123.46x = 7,434,599.20
  5. Step 5: Solve for x
    x = 7,434,599.20/4,123.46
  6. Step 6: Final answer
    x = 1,803.00

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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.