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Finding the Fourth Proportional to 2,770.40, 3,824.54 and 1,827.56

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Solution

The fourth proportional to 2,770.40, 3,824.54 and 1,827.56 is: 2,522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.40 : 3,824.54 = 1,827.56 : x
  2. Step 2: Convert to fraction form
    2,770.40/3,824.54 = 1,827.56/x
  3. Step 3: Cross multiply
    2,770.40x = 3,824.54 × 1,827.56
  4. Step 4: Simplify right side
    2,770.40x = 6,989,576.32
  5. Step 5: Solve for x
    x = 6,989,576.32/2,770.40
  6. Step 6: Final answer
    x = 2,522.95

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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.