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Finding the Fourth Proportional to 2,289.12, 3,162 and 1,754.76

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Solution

The fourth proportional to 2,289.12, 3,162 and 1,754.76 is: 2,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.12 : 3,162 = 1,754.76 : x
  2. Step 2: Convert to fraction form
    2,289.12/3,162 = 1,754.76/x
  3. Step 3: Cross multiply
    2,289.12x = 3,162 × 1,754.76
  4. Step 4: Simplify right side
    2,289.12x = 5,548,551.12
  5. Step 5: Solve for x
    x = 5,548,551.12/2,289.12
  6. Step 6: Final answer
    x = 2,423.88

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