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Finding the Fourth Proportional to 2,017.78, 2,786.14 and 1,346.24

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Solution

The fourth proportional to 2,017.78, 2,786.14 and 1,346.24 is: 1,858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.78 : 2,786.14 = 1,346.24 : x
  2. Step 2: Convert to fraction form
    2,017.78/2,786.14 = 1,346.24/x
  3. Step 3: Cross multiply
    2,017.78x = 2,786.14 × 1,346.24
  4. Step 4: Simplify right side
    2,017.78x = 3,750,813.11
  5. Step 5: Solve for x
    x = 3,750,813.11/2,017.78
  6. Step 6: Final answer
    x = 1,858.88

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