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Finding the Fourth Proportional to 2,871.72, 4,308.06 and 1,141.80

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Solution

The fourth proportional to 2,871.72, 4,308.06 and 1,141.80 is: 1,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.72 : 4,308.06 = 1,141.80 : x
  2. Step 2: Convert to fraction form
    2,871.72/4,308.06 = 1,141.80/x
  3. Step 3: Cross multiply
    2,871.72x = 4,308.06 × 1,141.80
  4. Step 4: Simplify right side
    2,871.72x = 4,918,942.91
  5. Step 5: Solve for x
    x = 4,918,942.91/2,871.72
  6. Step 6: Final answer
    x = 1,712.89

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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.