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Finding the Fourth Proportional to 2,435.84, 3,361.86 and 1,387.88

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Solution

The fourth proportional to 2,435.84, 3,361.86 and 1,387.88 is: 1,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.84 : 3,361.86 = 1,387.88 : x
  2. Step 2: Convert to fraction form
    2,435.84/3,361.86 = 1,387.88/x
  3. Step 3: Cross multiply
    2,435.84x = 3,361.86 × 1,387.88
  4. Step 4: Simplify right side
    2,435.84x = 4,665,858.26
  5. Step 5: Solve for x
    x = 4,665,858.26/2,435.84
  6. Step 6: Final answer
    x = 1,915.50

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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.