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Finding the Fourth Proportional to 1,527.79, 2,286.77 and 1,383.92

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Solution

The fourth proportional to 1,527.79, 2,286.77 and 1,383.92 is: 2,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.79 : 2,286.77 = 1,383.92 : x
  2. Step 2: Convert to fraction form
    1,527.79/2,286.77 = 1,383.92/x
  3. Step 3: Cross multiply
    1,527.79x = 2,286.77 × 1,383.92
  4. Step 4: Simplify right side
    1,527.79x = 3,164,706.74
  5. Step 5: Solve for x
    x = 3,164,706.74/1,527.79
  6. Step 6: Final answer
    x = 2,071.43

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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.