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Finding the Fourth Proportional to 2,772.46, 4,156.63 and 1,676.57

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Solution

The fourth proportional to 2,772.46, 4,156.63 and 1,676.57 is: 2,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.46 : 4,156.63 = 1,676.57 : x
  2. Step 2: Convert to fraction form
    2,772.46/4,156.63 = 1,676.57/x
  3. Step 3: Cross multiply
    2,772.46x = 4,156.63 × 1,676.57
  4. Step 4: Simplify right side
    2,772.46x = 6,968,865.62
  5. Step 5: Solve for x
    x = 6,968,865.62/2,772.46
  6. Step 6: Final answer
    x = 2,513.60

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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.