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Finding the Fourth Proportional to 2,842.63, 4,257.70 and 2,602.73

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Solution

The fourth proportional to 2,842.63, 4,257.70 and 2,602.73 is: 3,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.63 : 4,257.70 = 2,602.73 : x
  2. Step 2: Convert to fraction form
    2,842.63/4,257.70 = 2,602.73/x
  3. Step 3: Cross multiply
    2,842.63x = 4,257.70 × 2,602.73
  4. Step 4: Simplify right side
    2,842.63x = 11,081,647.66
  5. Step 5: Solve for x
    x = 11,081,647.66/2,842.63
  6. Step 6: Final answer
    x = 3,898.38

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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.