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Finding the Fourth Proportional to 2,327.57, 3,212.04 and 1,319.47

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Solution

The fourth proportional to 2,327.57, 3,212.04 and 1,319.47 is: 1,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.57 : 3,212.04 = 1,319.47 : x
  2. Step 2: Convert to fraction form
    2,327.57/3,212.04 = 1,319.47/x
  3. Step 3: Cross multiply
    2,327.57x = 3,212.04 × 1,319.47
  4. Step 4: Simplify right side
    2,327.57x = 4,238,190.71
  5. Step 5: Solve for x
    x = 4,238,190.71/2,327.57
  6. Step 6: Final answer
    x = 1,820.86

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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.