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Finding the Fourth Proportional to 2,362.00, 3,259.58 and 1,299.74

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Solution

The fourth proportional to 2,362.00, 3,259.58 and 1,299.74 is: 1,793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.00 : 3,259.58 = 1,299.74 : x
  2. Step 2: Convert to fraction form
    2,362.00/3,259.58 = 1,299.74/x
  3. Step 3: Cross multiply
    2,362.00x = 3,259.58 × 1,299.74
  4. Step 4: Simplify right side
    2,362.00x = 4,236,611.44
  5. Step 5: Solve for x
    x = 4,236,611.44/2,362.00
  6. Step 6: Final answer
    x = 1,793.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.