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Finding the Fourth Proportional to 2,435.44, 3,361 and 1,387.48

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Solution

The fourth proportional to 2,435.44, 3,361 and 1,387.48 is: 1,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.44 : 3,361 = 1,387.48 : x
  2. Step 2: Convert to fraction form
    2,435.44/3,361 = 1,387.48/x
  3. Step 3: Cross multiply
    2,435.44x = 3,361 × 1,387.48
  4. Step 4: Simplify right side
    2,435.44x = 4,663,320.28
  5. Step 5: Solve for x
    x = 4,663,320.28/2,435.44
  6. Step 6: Final answer
    x = 1,914.78

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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.