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Finding the Fourth Proportional to 2,507.09, 3,760.79 and 1,412.37

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Solution

The fourth proportional to 2,507.09, 3,760.79 and 1,412.37 is: 2,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.09 : 3,760.79 = 1,412.37 : x
  2. Step 2: Convert to fraction form
    2,507.09/3,760.79 = 1,412.37/x
  3. Step 3: Cross multiply
    2,507.09x = 3,760.79 × 1,412.37
  4. Step 4: Simplify right side
    2,507.09x = 5,311,619.91
  5. Step 5: Solve for x
    x = 5,311,619.91/2,507.09
  6. Step 6: Final answer
    x = 2,118.64

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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.