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Finding the Fourth Proportional to 1,737.80, 2,607.90 and 1,251.26

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Solution

The fourth proportional to 1,737.80, 2,607.90 and 1,251.26 is: 1,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.80 : 2,607.90 = 1,251.26 : x
  2. Step 2: Convert to fraction form
    1,737.80/2,607.90 = 1,251.26/x
  3. Step 3: Cross multiply
    1,737.80x = 2,607.90 × 1,251.26
  4. Step 4: Simplify right side
    1,737.80x = 3,263,160.95
  5. Step 5: Solve for x
    x = 3,263,160.95/1,737.80
  6. Step 6: Final answer
    x = 1,877.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.