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Finding the Fourth Proportional to 3,089.44, 4,613.16 and 2,432.80

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Solution

The fourth proportional to 3,089.44, 4,613.16 and 2,432.80 is: 3,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.44 : 4,613.16 = 2,432.80 : x
  2. Step 2: Convert to fraction form
    3,089.44/4,613.16 = 2,432.80/x
  3. Step 3: Cross multiply
    3,089.44x = 4,613.16 × 2,432.80
  4. Step 4: Simplify right side
    3,089.44x = 11,222,895.65
  5. Step 5: Solve for x
    x = 11,222,895.65/3,089.44
  6. Step 6: Final answer
    x = 3,632.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.