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Finding the Fourth Proportional to 2,363.87, 3,262.64 and 1,419.71

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Solution

The fourth proportional to 2,363.87, 3,262.64 and 1,419.71 is: 1,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.87 : 3,262.64 = 1,419.71 : x
  2. Step 2: Convert to fraction form
    2,363.87/3,262.64 = 1,419.71/x
  3. Step 3: Cross multiply
    2,363.87x = 3,262.64 × 1,419.71
  4. Step 4: Simplify right side
    2,363.87x = 4,631,979.22
  5. Step 5: Solve for x
    x = 4,631,979.22/2,363.87
  6. Step 6: Final answer
    x = 1,959.49

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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.