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Finding the Fourth Proportional to 2,132.96, 3,194.80 and 1,157

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Solution

The fourth proportional to 2,132.96, 3,194.80 and 1,157 is: 1,732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.96 : 3,194.80 = 1,157 : x
  2. Step 2: Convert to fraction form
    2,132.96/3,194.80 = 1,157/x
  3. Step 3: Cross multiply
    2,132.96x = 3,194.80 × 1,157
  4. Step 4: Simplify right side
    2,132.96x = 3,696,383.60
  5. Step 5: Solve for x
    x = 3,696,383.60/2,132.96
  6. Step 6: Final answer
    x = 1,732.98

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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.