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Finding the Fourth Proportional to 2,327.61, 3,492.54 and 1,157.52

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Solution

The fourth proportional to 2,327.61, 3,492.54 and 1,157.52 is: 1,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.61 : 3,492.54 = 1,157.52 : x
  2. Step 2: Convert to fraction form
    2,327.61/3,492.54 = 1,157.52/x
  3. Step 3: Cross multiply
    2,327.61x = 3,492.54 × 1,157.52
  4. Step 4: Simplify right side
    2,327.61x = 4,042,684.90
  5. Step 5: Solve for x
    x = 4,042,684.90/2,327.61
  6. Step 6: Final answer
    x = 1,736.84

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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.