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Finding the Fourth Proportional to 1,886.49, 2,828.07 and 1,155.78

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Solution

The fourth proportional to 1,886.49, 2,828.07 and 1,155.78 is: 1,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.49 : 2,828.07 = 1,155.78 : x
  2. Step 2: Convert to fraction form
    1,886.49/2,828.07 = 1,155.78/x
  3. Step 3: Cross multiply
    1,886.49x = 2,828.07 × 1,155.78
  4. Step 4: Simplify right side
    1,886.49x = 3,268,626.74
  5. Step 5: Solve for x
    x = 3,268,626.74/1,886.49
  6. Step 6: Final answer
    x = 1,732.65

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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.