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Finding the Fourth Proportional to 2,002.92, 2,764.02 and 1,164.11

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Solution

The fourth proportional to 2,002.92, 2,764.02 and 1,164.11 is: 1,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.92 : 2,764.02 = 1,164.11 : x
  2. Step 2: Convert to fraction form
    2,002.92/2,764.02 = 1,164.11/x
  3. Step 3: Cross multiply
    2,002.92x = 2,764.02 × 1,164.11
  4. Step 4: Simplify right side
    2,002.92x = 3,217,623.32
  5. Step 5: Solve for x
    x = 3,217,623.32/2,002.92
  6. Step 6: Final answer
    x = 1,606.47

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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.