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Finding the Fourth Proportional to 3,174.58, 4,762.68 and 1,227.34

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Solution

The fourth proportional to 3,174.58, 4,762.68 and 1,227.34 is: 1,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.58 : 4,762.68 = 1,227.34 : x
  2. Step 2: Convert to fraction form
    3,174.58/4,762.68 = 1,227.34/x
  3. Step 3: Cross multiply
    3,174.58x = 4,762.68 × 1,227.34
  4. Step 4: Simplify right side
    3,174.58x = 5,845,427.67
  5. Step 5: Solve for x
    x = 5,845,427.67/3,174.58
  6. Step 6: Final answer
    x = 1,841.32

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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.