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Finding the Fourth Proportional to 2,327.60, 3,493.20 and 1,597.16

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Solution

The fourth proportional to 2,327.60, 3,493.20 and 1,597.16 is: 2,396.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.60 : 3,493.20 = 1,597.16 : x
  2. Step 2: Convert to fraction form
    2,327.60/3,493.20 = 1,597.16/x
  3. Step 3: Cross multiply
    2,327.60x = 3,493.20 × 1,597.16
  4. Step 4: Simplify right side
    2,327.60x = 5,579,199.31
  5. Step 5: Solve for x
    x = 5,579,199.31/2,327.60
  6. Step 6: Final answer
    x = 2,396.98

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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.