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Finding the Fourth Proportional to 1,842.50, 2,542.63 and 1,096.44

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Solution

The fourth proportional to 1,842.50, 2,542.63 and 1,096.44 is: 1,513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.50 : 2,542.63 = 1,096.44 : x
  2. Step 2: Convert to fraction form
    1,842.50/2,542.63 = 1,096.44/x
  3. Step 3: Cross multiply
    1,842.50x = 2,542.63 × 1,096.44
  4. Step 4: Simplify right side
    1,842.50x = 2,787,841.24
  5. Step 5: Solve for x
    x = 2,787,841.24/1,842.50
  6. Step 6: Final answer
    x = 1,513.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.