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Finding the Fourth Proportional to 2,809.53, 4,213.17 and 1,164.96

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Solution

The fourth proportional to 2,809.53, 4,213.17 and 1,164.96 is: 1,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.53 : 4,213.17 = 1,164.96 : x
  2. Step 2: Convert to fraction form
    2,809.53/4,213.17 = 1,164.96/x
  3. Step 3: Cross multiply
    2,809.53x = 4,213.17 × 1,164.96
  4. Step 4: Simplify right side
    2,809.53x = 4,908,174.52
  5. Step 5: Solve for x
    x = 4,908,174.52/2,809.53
  6. Step 6: Final answer
    x = 1,746.97

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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.