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Finding the Fourth Proportional to 1,793.92, 2,474.88 and 1,670.40

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Solution

The fourth proportional to 1,793.92, 2,474.88 and 1,670.40 is: 2,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.92 : 2,474.88 = 1,670.40 : x
  2. Step 2: Convert to fraction form
    1,793.92/2,474.88 = 1,670.40/x
  3. Step 3: Cross multiply
    1,793.92x = 2,474.88 × 1,670.40
  4. Step 4: Simplify right side
    1,793.92x = 4,134,039.55
  5. Step 5: Solve for x
    x = 4,134,039.55/1,793.92
  6. Step 6: Final answer
    x = 2,304.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.