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Finding the Fourth Proportional to 2,737.63, 4,104.50 and 1,311.24

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Solution

The fourth proportional to 2,737.63, 4,104.50 and 1,311.24 is: 1,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.63 : 4,104.50 = 1,311.24 : x
  2. Step 2: Convert to fraction form
    2,737.63/4,104.50 = 1,311.24/x
  3. Step 3: Cross multiply
    2,737.63x = 4,104.50 × 1,311.24
  4. Step 4: Simplify right side
    2,737.63x = 5,381,987.16
  5. Step 5: Solve for x
    x = 5,381,987.16/2,737.63
  6. Step 6: Final answer
    x = 1,965.93

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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.