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Finding the Fourth Proportional to 1,905.48, 2,856.18 and 1,246.56

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Solution

The fourth proportional to 1,905.48, 2,856.18 and 1,246.56 is: 1,868.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.48 : 2,856.18 = 1,246.56 : x
  2. Step 2: Convert to fraction form
    1,905.48/2,856.18 = 1,246.56/x
  3. Step 3: Cross multiply
    1,905.48x = 2,856.18 × 1,246.56
  4. Step 4: Simplify right side
    1,905.48x = 3,560,399.74
  5. Step 5: Solve for x
    x = 3,560,399.74/1,905.48
  6. Step 6: Final answer
    x = 1,868.51

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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.