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Finding the Fourth Proportional to 1,796.16, 2,694.72 and 1,432.32

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Solution

The fourth proportional to 1,796.16, 2,694.72 and 1,432.32 is: 2,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.16 : 2,694.72 = 1,432.32 : x
  2. Step 2: Convert to fraction form
    1,796.16/2,694.72 = 1,432.32/x
  3. Step 3: Cross multiply
    1,796.16x = 2,694.72 × 1,432.32
  4. Step 4: Simplify right side
    1,796.16x = 3,859,701.35
  5. Step 5: Solve for x
    x = 3,859,701.35/1,796.16
  6. Step 6: Final answer
    x = 2,148.86

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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.