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Finding the Fourth Proportional to 2,813.59, 3,882.45 and 1,679.05

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Solution

The fourth proportional to 2,813.59, 3,882.45 and 1,679.05 is: 2,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.59 : 3,882.45 = 1,679.05 : x
  2. Step 2: Convert to fraction form
    2,813.59/3,882.45 = 1,679.05/x
  3. Step 3: Cross multiply
    2,813.59x = 3,882.45 × 1,679.05
  4. Step 4: Simplify right side
    2,813.59x = 6,518,827.67
  5. Step 5: Solve for x
    x = 6,518,827.67/2,813.59
  6. Step 6: Final answer
    x = 2,316.91

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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.