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Finding the Fourth Proportional to 2,363.67, 3,262.14 and 1,368.99

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Solution

The fourth proportional to 2,363.67, 3,262.14 and 1,368.99 is: 1,889.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.67 : 3,262.14 = 1,368.99 : x
  2. Step 2: Convert to fraction form
    2,363.67/3,262.14 = 1,368.99/x
  3. Step 3: Cross multiply
    2,363.67x = 3,262.14 × 1,368.99
  4. Step 4: Simplify right side
    2,363.67x = 4,465,837.04
  5. Step 5: Solve for x
    x = 4,465,837.04/2,363.67
  6. Step 6: Final answer
    x = 1,889.37

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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.