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Finding the Fourth Proportional to 3,186.37, 4,397.19 and 1,770.28

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Solution

The fourth proportional to 3,186.37, 4,397.19 and 1,770.28 is: 2,442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.37 : 4,397.19 = 1,770.28 : x
  2. Step 2: Convert to fraction form
    3,186.37/4,397.19 = 1,770.28/x
  3. Step 3: Cross multiply
    3,186.37x = 4,397.19 × 1,770.28
  4. Step 4: Simplify right side
    3,186.37x = 7,784,257.51
  5. Step 5: Solve for x
    x = 7,784,257.51/3,186.37
  6. Step 6: Final answer
    x = 2,442.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.