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Finding the Fourth Proportional to 2,074.32, 2,863.44 and 1,411.68

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Solution

The fourth proportional to 2,074.32, 2,863.44 and 1,411.68 is: 1,948.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.32 : 2,863.44 = 1,411.68 : x
  2. Step 2: Convert to fraction form
    2,074.32/2,863.44 = 1,411.68/x
  3. Step 3: Cross multiply
    2,074.32x = 2,863.44 × 1,411.68
  4. Step 4: Simplify right side
    2,074.32x = 4,042,260.98
  5. Step 5: Solve for x
    x = 4,042,260.98/2,074.32
  6. Step 6: Final answer
    x = 1,948.72

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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.