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Finding the Fourth Proportional to 1,786.14, 2,695.91 and 1,786.14

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Solution

The fourth proportional to 1,786.14, 2,695.91 and 1,786.14 is: 2,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.14 : 2,695.91 = 1,786.14 : x
  2. Step 2: Convert to fraction form
    1,786.14/2,695.91 = 1,786.14/x
  3. Step 3: Cross multiply
    1,786.14x = 2,695.91 × 1,786.14
  4. Step 4: Simplify right side
    1,786.14x = 4,815,263.76
  5. Step 5: Solve for x
    x = 4,815,263.76/1,786.14
  6. Step 6: Final answer
    x = 2,695.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.