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Finding the Fourth Proportional to 2,848.58, 3,930.12 and 1,589.43

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Solution

The fourth proportional to 2,848.58, 3,930.12 and 1,589.43 is: 2,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.58 : 3,930.12 = 1,589.43 : x
  2. Step 2: Convert to fraction form
    2,848.58/3,930.12 = 1,589.43/x
  3. Step 3: Cross multiply
    2,848.58x = 3,930.12 × 1,589.43
  4. Step 4: Simplify right side
    2,848.58x = 6,246,665.37
  5. Step 5: Solve for x
    x = 6,246,665.37/2,848.58
  6. Step 6: Final answer
    x = 2,192.91

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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.