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Finding the Fourth Proportional to 2,435.92, 3,361.74 and 1,387.98

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Solution

The fourth proportional to 2,435.92, 3,361.74 and 1,387.98 is: 1,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.92 : 3,361.74 = 1,387.98 : x
  2. Step 2: Convert to fraction form
    2,435.92/3,361.74 = 1,387.98/x
  3. Step 3: Cross multiply
    2,435.92x = 3,361.74 × 1,387.98
  4. Step 4: Simplify right side
    2,435.92x = 4,666,022.68
  5. Step 5: Solve for x
    x = 4,666,022.68/2,435.92
  6. Step 6: Final answer
    x = 1,915.51

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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.