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Finding the Fourth Proportional to 2,676.19, 3,693.07 and 1,497.27

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Solution

The fourth proportional to 2,676.19, 3,693.07 and 1,497.27 is: 2,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.19 : 3,693.07 = 1,497.27 : x
  2. Step 2: Convert to fraction form
    2,676.19/3,693.07 = 1,497.27/x
  3. Step 3: Cross multiply
    2,676.19x = 3,693.07 × 1,497.27
  4. Step 4: Simplify right side
    2,676.19x = 5,529,522.92
  5. Step 5: Solve for x
    x = 5,529,522.92/2,676.19
  6. Step 6: Final answer
    x = 2,066.19

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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.