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Finding the Fourth Proportional to 3,141.45, 4,714.20 and 1,825.20

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Solution

The fourth proportional to 3,141.45, 4,714.20 and 1,825.20 is: 2,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.45 : 4,714.20 = 1,825.20 : x
  2. Step 2: Convert to fraction form
    3,141.45/4,714.20 = 1,825.20/x
  3. Step 3: Cross multiply
    3,141.45x = 4,714.20 × 1,825.20
  4. Step 4: Simplify right side
    3,141.45x = 8,604,357.84
  5. Step 5: Solve for x
    x = 8,604,357.84/3,141.45
  6. Step 6: Final answer
    x = 2,738.98

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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.