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Finding the Fourth Proportional to 2,327.67, 3,492.86 and 940.82

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Solution

The fourth proportional to 2,327.67, 3,492.86 and 940.82 is: 1,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.67 : 3,492.86 = 940.82 : x
  2. Step 2: Convert to fraction form
    2,327.67/3,492.86 = 940.82/x
  3. Step 3: Cross multiply
    2,327.67x = 3,492.86 × 940.82
  4. Step 4: Simplify right side
    2,327.67x = 3,286,130.38
  5. Step 5: Solve for x
    x = 3,286,130.38/2,327.67
  6. Step 6: Final answer
    x = 1,411.77

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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.