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Finding the Fourth Proportional to 2,769.76, 4,149.06 and 1,670.74

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Solution

The fourth proportional to 2,769.76, 4,149.06 and 1,670.74 is: 2,502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.76 : 4,149.06 = 1,670.74 : x
  2. Step 2: Convert to fraction form
    2,769.76/4,149.06 = 1,670.74/x
  3. Step 3: Cross multiply
    2,769.76x = 4,149.06 × 1,670.74
  4. Step 4: Simplify right side
    2,769.76x = 6,932,000.50
  5. Step 5: Solve for x
    x = 6,932,000.50/2,769.76
  6. Step 6: Final answer
    x = 2,502.74

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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.