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Finding the Fourth Proportional to 2,996.92, 4,135.71 and 1,670.55

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Solution

The fourth proportional to 2,996.92, 4,135.71 and 1,670.55 is: 2,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.92 : 4,135.71 = 1,670.55 : x
  2. Step 2: Convert to fraction form
    2,996.92/4,135.71 = 1,670.55/x
  3. Step 3: Cross multiply
    2,996.92x = 4,135.71 × 1,670.55
  4. Step 4: Simplify right side
    2,996.92x = 6,908,910.34
  5. Step 5: Solve for x
    x = 6,908,910.34/2,996.92
  6. Step 6: Final answer
    x = 2,305.34

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1.5x scale

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.