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Finding the Fourth Proportional to 2,848.36, 3,930.42 and 1,606.36

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Solution

The fourth proportional to 2,848.36, 3,930.42 and 1,606.36 is: 2,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.36 : 3,930.42 = 1,606.36 : x
  2. Step 2: Convert to fraction form
    2,848.36/3,930.42 = 1,606.36/x
  3. Step 3: Cross multiply
    2,848.36x = 3,930.42 × 1,606.36
  4. Step 4: Simplify right side
    2,848.36x = 6,313,669.47
  5. Step 5: Solve for x
    x = 6,313,669.47/2,848.36
  6. Step 6: Final answer
    x = 2,216.60

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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.