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Finding the Fourth Proportional to 2,123.94, 3,185.69 and 1,300.78

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Solution

The fourth proportional to 2,123.94, 3,185.69 and 1,300.78 is: 1,951.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.94 : 3,185.69 = 1,300.78 : x
  2. Step 2: Convert to fraction form
    2,123.94/3,185.69 = 1,300.78/x
  3. Step 3: Cross multiply
    2,123.94x = 3,185.69 × 1,300.78
  4. Step 4: Simplify right side
    2,123.94x = 4,143,867.37
  5. Step 5: Solve for x
    x = 4,143,867.37/2,123.94
  6. Step 6: Final answer
    x = 1,951.03

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