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Finding the Fourth Proportional to 1,824.53, 2,737.07 and 713.73

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Solution

The fourth proportional to 1,824.53, 2,737.07 and 713.73 is: 1,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.53 : 2,737.07 = 713.73 : x
  2. Step 2: Convert to fraction form
    1,824.53/2,737.07 = 713.73/x
  3. Step 3: Cross multiply
    1,824.53x = 2,737.07 × 713.73
  4. Step 4: Simplify right side
    1,824.53x = 1,953,525.40
  5. Step 5: Solve for x
    x = 1,953,525.40/1,824.53
  6. Step 6: Final answer
    x = 1,070.70

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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.