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Finding the Fourth Proportional to 2,318.76, 3,199.47 and 1,323.84

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Solution

The fourth proportional to 2,318.76, 3,199.47 and 1,323.84 is: 1,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.76 : 3,199.47 = 1,323.84 : x
  2. Step 2: Convert to fraction form
    2,318.76/3,199.47 = 1,323.84/x
  3. Step 3: Cross multiply
    2,318.76x = 3,199.47 × 1,323.84
  4. Step 4: Simplify right side
    2,318.76x = 4,235,586.36
  5. Step 5: Solve for x
    x = 4,235,586.36/2,318.76
  6. Step 6: Final answer
    x = 1,826.66

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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.