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Finding the Fourth Proportional to 1,527.69, 2,108.34 and 938.43

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Solution

The fourth proportional to 1,527.69, 2,108.34 and 938.43 is: 1,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.69 : 2,108.34 = 938.43 : x
  2. Step 2: Convert to fraction form
    1,527.69/2,108.34 = 938.43/x
  3. Step 3: Cross multiply
    1,527.69x = 2,108.34 × 938.43
  4. Step 4: Simplify right side
    1,527.69x = 1,978,529.51
  5. Step 5: Solve for x
    x = 1,978,529.51/1,527.69
  6. Step 6: Final answer
    x = 1,295.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.