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Finding the Fourth Proportional to 2,912.65, 4,019.81 and 1,654.10

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Solution

The fourth proportional to 2,912.65, 4,019.81 and 1,654.10 is: 2,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.65 : 4,019.81 = 1,654.10 : x
  2. Step 2: Convert to fraction form
    2,912.65/4,019.81 = 1,654.10/x
  3. Step 3: Cross multiply
    2,912.65x = 4,019.81 × 1,654.10
  4. Step 4: Simplify right side
    2,912.65x = 6,649,181.91
  5. Step 5: Solve for x
    x = 6,649,181.91/2,912.65
  6. Step 6: Final answer
    x = 2,282.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.