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Finding the Fourth Proportional to 2,005.56, 2,767.32 and 1,166.40

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Solution

The fourth proportional to 2,005.56, 2,767.32 and 1,166.40 is: 1,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.56 : 2,767.32 = 1,166.40 : x
  2. Step 2: Convert to fraction form
    2,005.56/2,767.32 = 1,166.40/x
  3. Step 3: Cross multiply
    2,005.56x = 2,767.32 × 1,166.40
  4. Step 4: Simplify right side
    2,005.56x = 3,227,802.05
  5. Step 5: Solve for x
    x = 3,227,802.05/2,005.56
  6. Step 6: Final answer
    x = 1,609.43

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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.