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Finding the Fourth Proportional to 1,786.14, 2,677.14 and 1,006.50

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Solution

The fourth proportional to 1,786.14, 2,677.14 and 1,006.50 is: 1,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.14 : 2,677.14 = 1,006.50 : x
  2. Step 2: Convert to fraction form
    1,786.14/2,677.14 = 1,006.50/x
  3. Step 3: Cross multiply
    1,786.14x = 2,677.14 × 1,006.50
  4. Step 4: Simplify right side
    1,786.14x = 2,694,541.41
  5. Step 5: Solve for x
    x = 2,694,541.41/1,786.14
  6. Step 6: Final answer
    x = 1,508.58

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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.