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Finding the Fourth Proportional to 2,179.48, 3,006.30 and 1,294.62

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Solution

The fourth proportional to 2,179.48, 3,006.30 and 1,294.62 is: 1,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.48 : 3,006.30 = 1,294.62 : x
  2. Step 2: Convert to fraction form
    2,179.48/3,006.30 = 1,294.62/x
  3. Step 3: Cross multiply
    2,179.48x = 3,006.30 × 1,294.62
  4. Step 4: Simplify right side
    2,179.48x = 3,892,016.11
  5. Step 5: Solve for x
    x = 3,892,016.11/2,179.48
  6. Step 6: Final answer
    x = 1,785.75

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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.