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Finding the Fourth Proportional to 1,639.71, 2,262.18 and 1,050.57

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Solution

The fourth proportional to 1,639.71, 2,262.18 and 1,050.57 is: 1,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.71 : 2,262.18 = 1,050.57 : x
  2. Step 2: Convert to fraction form
    1,639.71/2,262.18 = 1,050.57/x
  3. Step 3: Cross multiply
    1,639.71x = 2,262.18 × 1,050.57
  4. Step 4: Simplify right side
    1,639.71x = 2,376,578.44
  5. Step 5: Solve for x
    x = 2,376,578.44/1,639.71
  6. Step 6: Final answer
    x = 1,449.39

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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.