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Finding the Fourth Proportional to 1,960.18, 2,938.35 and 806.74

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Solution

The fourth proportional to 1,960.18, 2,938.35 and 806.74 is: 1,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.18 : 2,938.35 = 806.74 : x
  2. Step 2: Convert to fraction form
    1,960.18/2,938.35 = 806.74/x
  3. Step 3: Cross multiply
    1,960.18x = 2,938.35 × 806.74
  4. Step 4: Simplify right side
    1,960.18x = 2,370,484.48
  5. Step 5: Solve for x
    x = 2,370,484.48/1,960.18
  6. Step 6: Final answer
    x = 1,209.32

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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.