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Finding the Fourth Proportional to 2,770.42, 3,823.19 and 1,775.70

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Solution

The fourth proportional to 2,770.42, 3,823.19 and 1,775.70 is: 2,450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.42 : 3,823.19 = 1,775.70 : x
  2. Step 2: Convert to fraction form
    2,770.42/3,823.19 = 1,775.70/x
  3. Step 3: Cross multiply
    2,770.42x = 3,823.19 × 1,775.70
  4. Step 4: Simplify right side
    2,770.42x = 6,788,810.49
  5. Step 5: Solve for x
    x = 6,788,810.49/2,770.42
  6. Step 6: Final answer
    x = 2,450.46

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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.