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Finding the Fourth Proportional to 4,182.76, 6,271.98 and 1,873

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Solution

The fourth proportional to 4,182.76, 6,271.98 and 1,873 is: 2,808.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.76 : 6,271.98 = 1,873 : x
  2. Step 2: Convert to fraction form
    4,182.76/6,271.98 = 1,873/x
  3. Step 3: Cross multiply
    4,182.76x = 6,271.98 × 1,873
  4. Step 4: Simplify right side
    4,182.76x = 11,747,418.54
  5. Step 5: Solve for x
    x = 11,747,418.54/4,182.76
  6. Step 6: Final answer
    x = 2,808.53

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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.