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Finding the Fourth Proportional to 1,525, 2,272.34 and 1,361.50

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Solution

The fourth proportional to 1,525, 2,272.34 and 1,361.50 is: 2,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525 : 2,272.34 = 1,361.50 : x
  2. Step 2: Convert to fraction form
    1,525/2,272.34 = 1,361.50/x
  3. Step 3: Cross multiply
    1,525x = 2,272.34 × 1,361.50
  4. Step 4: Simplify right side
    1,525x = 3,093,790.91
  5. Step 5: Solve for x
    x = 3,093,790.91/1,525
  6. Step 6: Final answer
    x = 2,028.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.