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Finding the Fourth Proportional to 2,786.36, 3,846.14 and 1,607.90

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Solution

The fourth proportional to 2,786.36, 3,846.14 and 1,607.90 is: 2,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.36 : 3,846.14 = 1,607.90 : x
  2. Step 2: Convert to fraction form
    2,786.36/3,846.14 = 1,607.90/x
  3. Step 3: Cross multiply
    2,786.36x = 3,846.14 × 1,607.90
  4. Step 4: Simplify right side
    2,786.36x = 6,184,208.51
  5. Step 5: Solve for x
    x = 6,184,208.51/2,786.36
  6. Step 6: Final answer
    x = 2,219.46

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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.