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Finding the Fourth Proportional to 1,737.41, 2,396.36 and 1,265.45

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Solution

The fourth proportional to 1,737.41, 2,396.36 and 1,265.45 is: 1,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.41 : 2,396.36 = 1,265.45 : x
  2. Step 2: Convert to fraction form
    1,737.41/2,396.36 = 1,265.45/x
  3. Step 3: Cross multiply
    1,737.41x = 2,396.36 × 1,265.45
  4. Step 4: Simplify right side
    1,737.41x = 3,032,467.43
  5. Step 5: Solve for x
    x = 3,032,467.43/1,737.41
  6. Step 6: Final answer
    x = 1,745.40

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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.