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Finding the Fourth Proportional to 2,307, 3,183.67 and 1,259.07

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Solution

The fourth proportional to 2,307, 3,183.67 and 1,259.07 is: 1,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307 : 3,183.67 = 1,259.07 : x
  2. Step 2: Convert to fraction form
    2,307/3,183.67 = 1,259.07/x
  3. Step 3: Cross multiply
    2,307x = 3,183.67 × 1,259.07
  4. Step 4: Simplify right side
    2,307x = 4,008,463.39
  5. Step 5: Solve for x
    x = 4,008,463.39/2,307
  6. Step 6: Final answer
    x = 1,737.52

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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.