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Finding the Fourth Proportional to 2,327.72, 3,492.18 and 2,032.47

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Solution

The fourth proportional to 2,327.72, 3,492.18 and 2,032.47 is: 3,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.72 : 3,492.18 = 2,032.47 : x
  2. Step 2: Convert to fraction form
    2,327.72/3,492.18 = 2,032.47/x
  3. Step 3: Cross multiply
    2,327.72x = 3,492.18 × 2,032.47
  4. Step 4: Simplify right side
    2,327.72x = 7,097,751.08
  5. Step 5: Solve for x
    x = 7,097,751.08/2,327.72
  6. Step 6: Final answer
    x = 3,049.24

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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.