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Finding the Fourth Proportional to 2,848.14, 4,272.12 and 873.77

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Solution

The fourth proportional to 2,848.14, 4,272.12 and 873.77 is: 1,310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.14 : 4,272.12 = 873.77 : x
  2. Step 2: Convert to fraction form
    2,848.14/4,272.12 = 873.77/x
  3. Step 3: Cross multiply
    2,848.14x = 4,272.12 × 873.77
  4. Step 4: Simplify right side
    2,848.14x = 3,732,828.93
  5. Step 5: Solve for x
    x = 3,732,828.93/2,848.14
  6. Step 6: Final answer
    x = 1,310.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.