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Finding the Fourth Proportional to 4,182.09, 6,274.11 and 1,260.42

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Solution

The fourth proportional to 4,182.09, 6,274.11 and 1,260.42 is: 1,890.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.09 : 6,274.11 = 1,260.42 : x
  2. Step 2: Convert to fraction form
    4,182.09/6,274.11 = 1,260.42/x
  3. Step 3: Cross multiply
    4,182.09x = 6,274.11 × 1,260.42
  4. Step 4: Simplify right side
    4,182.09x = 7,908,013.73
  5. Step 5: Solve for x
    x = 7,908,013.73/4,182.09
  6. Step 6: Final answer
    x = 1,890.92

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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.