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Finding the Fourth Proportional to 2,364.65, 3,262.37 and 1,369.38

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Solution

The fourth proportional to 2,364.65, 3,262.37 and 1,369.38 is: 1,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.65 : 3,262.37 = 1,369.38 : x
  2. Step 2: Convert to fraction form
    2,364.65/3,262.37 = 1,369.38/x
  3. Step 3: Cross multiply
    2,364.65x = 3,262.37 × 1,369.38
  4. Step 4: Simplify right side
    2,364.65x = 4,467,417.38
  5. Step 5: Solve for x
    x = 4,467,417.38/2,364.65
  6. Step 6: Final answer
    x = 1,889.25

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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.