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Finding the Fourth Proportional to 2,848.54, 3,930.86 and 1,589.62

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Solution

The fourth proportional to 2,848.54, 3,930.86 and 1,589.62 is: 2,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.54 : 3,930.86 = 1,589.62 : x
  2. Step 2: Convert to fraction form
    2,848.54/3,930.86 = 1,589.62/x
  3. Step 3: Cross multiply
    2,848.54x = 3,930.86 × 1,589.62
  4. Step 4: Simplify right side
    2,848.54x = 6,248,573.67
  5. Step 5: Solve for x
    x = 6,248,573.67/2,848.54
  6. Step 6: Final answer
    x = 2,193.61

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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.