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Finding the Fourth Proportional to 1,828.44, 2,743.62 and 788.16

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Solution

The fourth proportional to 1,828.44, 2,743.62 and 788.16 is: 1,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.44 : 2,743.62 = 788.16 : x
  2. Step 2: Convert to fraction form
    1,828.44/2,743.62 = 788.16/x
  3. Step 3: Cross multiply
    1,828.44x = 2,743.62 × 788.16
  4. Step 4: Simplify right side
    1,828.44x = 2,162,411.54
  5. Step 5: Solve for x
    x = 2,162,411.54/1,828.44
  6. Step 6: Final answer
    x = 1,182.65

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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.