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Finding the Fourth Proportional to 1,886.14, 2,828.07 and 845.95

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Solution

The fourth proportional to 1,886.14, 2,828.07 and 845.95 is: 1,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.14 : 2,828.07 = 845.95 : x
  2. Step 2: Convert to fraction form
    1,886.14/2,828.07 = 845.95/x
  3. Step 3: Cross multiply
    1,886.14x = 2,828.07 × 845.95
  4. Step 4: Simplify right side
    1,886.14x = 2,392,409.35
  5. Step 5: Solve for x
    x = 2,392,409.35/1,886.14
  6. Step 6: Final answer
    x = 1,268.42

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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.