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Finding the Fourth Proportional to 1,527.43, 2,288.20 and 911.63

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Solution

The fourth proportional to 1,527.43, 2,288.20 and 911.63 is: 1,365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.43 : 2,288.20 = 911.63 : x
  2. Step 2: Convert to fraction form
    1,527.43/2,288.20 = 911.63/x
  3. Step 3: Cross multiply
    1,527.43x = 2,288.20 × 911.63
  4. Step 4: Simplify right side
    1,527.43x = 2,085,986.63
  5. Step 5: Solve for x
    x = 2,085,986.63/1,527.43
  6. Step 6: Final answer
    x = 1,365.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.