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Finding the Fourth Proportional to 1,841.75, 2,540.31 and 1,132.67

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Solution

The fourth proportional to 1,841.75, 2,540.31 and 1,132.67 is: 1,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.75 : 2,540.31 = 1,132.67 : x
  2. Step 2: Convert to fraction form
    1,841.75/2,540.31 = 1,132.67/x
  3. Step 3: Cross multiply
    1,841.75x = 2,540.31 × 1,132.67
  4. Step 4: Simplify right side
    1,841.75x = 2,877,325.50
  5. Step 5: Solve for x
    x = 2,877,325.50/1,841.75
  6. Step 6: Final answer
    x = 1,562.28

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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.