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Finding the Fourth Proportional to 2,574.15, 3,861.09 and 1,405.05

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Solution

The fourth proportional to 2,574.15, 3,861.09 and 1,405.05 is: 2,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.15 : 3,861.09 = 1,405.05 : x
  2. Step 2: Convert to fraction form
    2,574.15/3,861.09 = 1,405.05/x
  3. Step 3: Cross multiply
    2,574.15x = 3,861.09 × 1,405.05
  4. Step 4: Simplify right side
    2,574.15x = 5,425,024.50
  5. Step 5: Solve for x
    x = 5,425,024.50/2,574.15
  6. Step 6: Final answer
    x = 2,107.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.