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Finding the Fourth Proportional to 1,836.50, 2,753.82 and 666.45

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Solution

The fourth proportional to 1,836.50, 2,753.82 and 666.45 is: 999.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.50 : 2,753.82 = 666.45 : x
  2. Step 2: Convert to fraction form
    1,836.50/2,753.82 = 666.45/x
  3. Step 3: Cross multiply
    1,836.50x = 2,753.82 × 666.45
  4. Step 4: Simplify right side
    1,836.50x = 1,835,283.34
  5. Step 5: Solve for x
    x = 1,835,283.34/1,836.50
  6. Step 6: Final answer
    x = 999.34

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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.