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Finding the Fourth Proportional to 2,503.56, 3,752.05 and 1,842.34

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Solution

The fourth proportional to 2,503.56, 3,752.05 and 1,842.34 is: 2,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.56 : 3,752.05 = 1,842.34 : x
  2. Step 2: Convert to fraction form
    2,503.56/3,752.05 = 1,842.34/x
  3. Step 3: Cross multiply
    2,503.56x = 3,752.05 × 1,842.34
  4. Step 4: Simplify right side
    2,503.56x = 6,912,535.16
  5. Step 5: Solve for x
    x = 6,912,535.16/2,503.56
  6. Step 6: Final answer
    x = 2,761.09

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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.