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Finding the Fourth Proportional to 3,294.66, 4,940.40 and 1,215.65

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Solution

The fourth proportional to 3,294.66, 4,940.40 and 1,215.65 is: 1,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.66 : 4,940.40 = 1,215.65 : x
  2. Step 2: Convert to fraction form
    3,294.66/4,940.40 = 1,215.65/x
  3. Step 3: Cross multiply
    3,294.66x = 4,940.40 × 1,215.65
  4. Step 4: Simplify right side
    3,294.66x = 6,005,779.54
  5. Step 5: Solve for x
    x = 6,005,779.54/3,294.66
  6. Step 6: Final answer
    x = 1,822.88

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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.