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Finding the Fourth Proportional to 1,619.87, 2,236.41 and 1,031.40

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Solution

The fourth proportional to 1,619.87, 2,236.41 and 1,031.40 is: 1,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.87 : 2,236.41 = 1,031.40 : x
  2. Step 2: Convert to fraction form
    1,619.87/2,236.41 = 1,031.40/x
  3. Step 3: Cross multiply
    1,619.87x = 2,236.41 × 1,031.40
  4. Step 4: Simplify right side
    1,619.87x = 2,306,633.27
  5. Step 5: Solve for x
    x = 2,306,633.27/1,619.87
  6. Step 6: Final answer
    x = 1,423.97

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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.