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Finding the Fourth Proportional to 1,808.92, 2,713.38 and 942.76

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Solution

The fourth proportional to 1,808.92, 2,713.38 and 942.76 is: 1,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.92 : 2,713.38 = 942.76 : x
  2. Step 2: Convert to fraction form
    1,808.92/2,713.38 = 942.76/x
  3. Step 3: Cross multiply
    1,808.92x = 2,713.38 × 942.76
  4. Step 4: Simplify right side
    1,808.92x = 2,558,066.13
  5. Step 5: Solve for x
    x = 2,558,066.13/1,808.92
  6. Step 6: Final answer
    x = 1,414.14

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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.