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Finding the Fourth Proportional to 1,684.05, 2,527.11 and 1,066.92

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Solution

The fourth proportional to 1,684.05, 2,527.11 and 1,066.92 is: 1,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.05 : 2,527.11 = 1,066.92 : x
  2. Step 2: Convert to fraction form
    1,684.05/2,527.11 = 1,066.92/x
  3. Step 3: Cross multiply
    1,684.05x = 2,527.11 × 1,066.92
  4. Step 4: Simplify right side
    1,684.05x = 2,696,224.20
  5. Step 5: Solve for x
    x = 2,696,224.20/1,684.05
  6. Step 6: Final answer
    x = 1,601.04

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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.