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Finding the Fourth Proportional to 2,848.92, 3,930.66 and 1,855.32

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Solution

The fourth proportional to 2,848.92, 3,930.66 and 1,855.32 is: 2,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.92 : 3,930.66 = 1,855.32 : x
  2. Step 2: Convert to fraction form
    2,848.92/3,930.66 = 1,855.32/x
  3. Step 3: Cross multiply
    2,848.92x = 3,930.66 × 1,855.32
  4. Step 4: Simplify right side
    2,848.92x = 7,292,632.11
  5. Step 5: Solve for x
    x = 7,292,632.11/2,848.92
  6. Step 6: Final answer
    x = 2,559.79

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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.