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Finding the Fourth Proportional to 2,507.34, 3,761.07 and 1,409.34

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Solution

The fourth proportional to 2,507.34, 3,761.07 and 1,409.34 is: 2,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.34 : 3,761.07 = 1,409.34 : x
  2. Step 2: Convert to fraction form
    2,507.34/3,761.07 = 1,409.34/x
  3. Step 3: Cross multiply
    2,507.34x = 3,761.07 × 1,409.34
  4. Step 4: Simplify right side
    2,507.34x = 5,300,626.39
  5. Step 5: Solve for x
    x = 5,300,626.39/2,507.34
  6. Step 6: Final answer
    x = 2,114.04

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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.