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Finding the Fourth Proportional to 2,903.38, 4,008.69 and 2,230.06

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Solution

The fourth proportional to 2,903.38, 4,008.69 and 2,230.06 is: 3,079.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.38 : 4,008.69 = 2,230.06 : x
  2. Step 2: Convert to fraction form
    2,903.38/4,008.69 = 2,230.06/x
  3. Step 3: Cross multiply
    2,903.38x = 4,008.69 × 2,230.06
  4. Step 4: Simplify right side
    2,903.38x = 8,939,619.22
  5. Step 5: Solve for x
    x = 8,939,619.22/2,903.38
  6. Step 6: Final answer
    x = 3,079.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.