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Finding the Fourth Proportional to 1,836.27, 2,755.08 and 666.23

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Solution

The fourth proportional to 1,836.27, 2,755.08 and 666.23 is: 999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.27 : 2,755.08 = 666.23 : x
  2. Step 2: Convert to fraction form
    1,836.27/2,755.08 = 666.23/x
  3. Step 3: Cross multiply
    1,836.27x = 2,755.08 × 666.23
  4. Step 4: Simplify right side
    1,836.27x = 1,835,503.17
  5. Step 5: Solve for x
    x = 1,835,503.17/1,836.27
  6. Step 6: Final answer
    x = 999.58

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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.