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Finding the Fourth Proportional to 1,859.39, 2,563.76 and 1,196.27

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Solution

The fourth proportional to 1,859.39, 2,563.76 and 1,196.27 is: 1,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.39 : 2,563.76 = 1,196.27 : x
  2. Step 2: Convert to fraction form
    1,859.39/2,563.76 = 1,196.27/x
  3. Step 3: Cross multiply
    1,859.39x = 2,563.76 × 1,196.27
  4. Step 4: Simplify right side
    1,859.39x = 3,066,943.19
  5. Step 5: Solve for x
    x = 3,066,943.19/1,859.39
  6. Step 6: Final answer
    x = 1,649.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.