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Finding the Fourth Proportional to 3,076.81, 4,613.12 and 1,762.05

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Solution

The fourth proportional to 3,076.81, 4,613.12 and 1,762.05 is: 2,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.81 : 4,613.12 = 1,762.05 : x
  2. Step 2: Convert to fraction form
    3,076.81/4,613.12 = 1,762.05/x
  3. Step 3: Cross multiply
    3,076.81x = 4,613.12 × 1,762.05
  4. Step 4: Simplify right side
    3,076.81x = 8,128,548.10
  5. Step 5: Solve for x
    x = 8,128,548.10/3,076.81
  6. Step 6: Final answer
    x = 2,641.88

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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.