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Finding the Fourth Proportional to 2,843.67, 4,266.65 and 1,527.42

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Solution

The fourth proportional to 2,843.67, 4,266.65 and 1,527.42 is: 2,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.67 : 4,266.65 = 1,527.42 : x
  2. Step 2: Convert to fraction form
    2,843.67/4,266.65 = 1,527.42/x
  3. Step 3: Cross multiply
    2,843.67x = 4,266.65 × 1,527.42
  4. Step 4: Simplify right side
    2,843.67x = 6,516,966.54
  5. Step 5: Solve for x
    x = 6,516,966.54/2,843.67
  6. Step 6: Final answer
    x = 2,291.75

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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.