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Finding the Fourth Proportional to 3,174.18, 4,762.24 and 1,420.65

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Solution

The fourth proportional to 3,174.18, 4,762.24 and 1,420.65 is: 2,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.18 : 4,762.24 = 1,420.65 : x
  2. Step 2: Convert to fraction form
    3,174.18/4,762.24 = 1,420.65/x
  3. Step 3: Cross multiply
    3,174.18x = 4,762.24 × 1,420.65
  4. Step 4: Simplify right side
    3,174.18x = 6,765,476.26
  5. Step 5: Solve for x
    x = 6,765,476.26/3,174.18
  6. Step 6: Final answer
    x = 2,131.41

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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.