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Finding the Fourth Proportional to 3,074.88, 4,613.67 and 1,613.69

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Solution

The fourth proportional to 3,074.88, 4,613.67 and 1,613.69 is: 2,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.88 : 4,613.67 = 1,613.69 : x
  2. Step 2: Convert to fraction form
    3,074.88/4,613.67 = 1,613.69/x
  3. Step 3: Cross multiply
    3,074.88x = 4,613.67 × 1,613.69
  4. Step 4: Simplify right side
    3,074.88x = 7,445,002.01
  5. Step 5: Solve for x
    x = 7,445,002.01/3,074.88
  6. Step 6: Final answer
    x = 2,421.24

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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.