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Finding the Fourth Proportional to 1,886.67, 2,824.92 and 1,063.71

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Solution

The fourth proportional to 1,886.67, 2,824.92 and 1,063.71 is: 1,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.67 : 2,824.92 = 1,063.71 : x
  2. Step 2: Convert to fraction form
    1,886.67/2,824.92 = 1,063.71/x
  3. Step 3: Cross multiply
    1,886.67x = 2,824.92 × 1,063.71
  4. Step 4: Simplify right side
    1,886.67x = 3,004,895.65
  5. Step 5: Solve for x
    x = 3,004,895.65/1,886.67
  6. Step 6: Final answer
    x = 1,592.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.