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Finding the Fourth Proportional to 1,915.55, 2,871.23 and 820.56

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Solution

The fourth proportional to 1,915.55, 2,871.23 and 820.56 is: 1,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.55 : 2,871.23 = 820.56 : x
  2. Step 2: Convert to fraction form
    1,915.55/2,871.23 = 820.56/x
  3. Step 3: Cross multiply
    1,915.55x = 2,871.23 × 820.56
  4. Step 4: Simplify right side
    1,915.55x = 2,356,012.39
  5. Step 5: Solve for x
    x = 2,356,012.39/1,915.55
  6. Step 6: Final answer
    x = 1,229.94

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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.