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Finding the Fourth Proportional to 2,318.47, 3,199.80 and 1,323.52

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Solution

The fourth proportional to 2,318.47, 3,199.80 and 1,323.52 is: 1,826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.47 : 3,199.80 = 1,323.52 : x
  2. Step 2: Convert to fraction form
    2,318.47/3,199.80 = 1,323.52/x
  3. Step 3: Cross multiply
    2,318.47x = 3,199.80 × 1,323.52
  4. Step 4: Simplify right side
    2,318.47x = 4,234,999.30
  5. Step 5: Solve for x
    x = 4,234,999.30/2,318.47
  6. Step 6: Final answer
    x = 1,826.64

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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.