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Finding the Fourth Proportional to 3,190.16, 4,402.88 and 1,793

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Solution

The fourth proportional to 3,190.16, 4,402.88 and 1,793 is: 2,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.16 : 4,402.88 = 1,793 : x
  2. Step 2: Convert to fraction form
    3,190.16/4,402.88 = 1,793/x
  3. Step 3: Cross multiply
    3,190.16x = 4,402.88 × 1,793
  4. Step 4: Simplify right side
    3,190.16x = 7,894,363.84
  5. Step 5: Solve for x
    x = 7,894,363.84/3,190.16
  6. Step 6: Final answer
    x = 2,474.60

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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.