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Finding the Fourth Proportional to 2,786.12, 3,844.50 and 1,607

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Solution

The fourth proportional to 2,786.12, 3,844.50 and 1,607 is: 2,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.12 : 3,844.50 = 1,607 : x
  2. Step 2: Convert to fraction form
    2,786.12/3,844.50 = 1,607/x
  3. Step 3: Cross multiply
    2,786.12x = 3,844.50 × 1,607
  4. Step 4: Simplify right side
    2,786.12x = 6,178,111.50
  5. Step 5: Solve for x
    x = 6,178,111.50/2,786.12
  6. Step 6: Final answer
    x = 2,217.46

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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.