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Finding the Fourth Proportional to 2,912.65, 4,370.20 and 1,410.91

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Solution

The fourth proportional to 2,912.65, 4,370.20 and 1,410.91 is: 2,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.65 : 4,370.20 = 1,410.91 : x
  2. Step 2: Convert to fraction form
    2,912.65/4,370.20 = 1,410.91/x
  3. Step 3: Cross multiply
    2,912.65x = 4,370.20 × 1,410.91
  4. Step 4: Simplify right side
    2,912.65x = 6,165,944.43
  5. Step 5: Solve for x
    x = 6,165,944.43/2,912.65
  6. Step 6: Final answer
    x = 2,116.96

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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.