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Finding the Fourth Proportional to 2,680.30, 4,004.10 and 2,133.10

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Solution

The fourth proportional to 2,680.30, 4,004.10 and 2,133.10 is: 3,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.30 : 4,004.10 = 2,133.10 : x
  2. Step 2: Convert to fraction form
    2,680.30/4,004.10 = 2,133.10/x
  3. Step 3: Cross multiply
    2,680.30x = 4,004.10 × 2,133.10
  4. Step 4: Simplify right side
    2,680.30x = 8,541,145.71
  5. Step 5: Solve for x
    x = 8,541,145.71/2,680.30
  6. Step 6: Final answer
    x = 3,186.64

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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.