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Finding the Fourth Proportional to 3,174.42, 4,762.13 and 982.63

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Solution

The fourth proportional to 3,174.42, 4,762.13 and 982.63 is: 1,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.42 : 4,762.13 = 982.63 : x
  2. Step 2: Convert to fraction form
    3,174.42/4,762.13 = 982.63/x
  3. Step 3: Cross multiply
    3,174.42x = 4,762.13 × 982.63
  4. Step 4: Simplify right side
    3,174.42x = 4,679,411.80
  5. Step 5: Solve for x
    x = 4,679,411.80/3,174.42
  6. Step 6: Final answer
    x = 1,474.10

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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.