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Finding the Fourth Proportional to 3,174.48, 4,762.62 and 1,613.64

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Solution

The fourth proportional to 3,174.48, 4,762.62 and 1,613.64 is: 2,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.48 : 4,762.62 = 1,613.64 : x
  2. Step 2: Convert to fraction form
    3,174.48/4,762.62 = 1,613.64/x
  3. Step 3: Cross multiply
    3,174.48x = 4,762.62 × 1,613.64
  4. Step 4: Simplify right side
    3,174.48x = 7,685,154.14
  5. Step 5: Solve for x
    x = 7,685,154.14/3,174.48
  6. Step 6: Final answer
    x = 2,420.92

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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.