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Finding the Fourth Proportional to 2,507.35, 3,760.26 and 946.21

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Solution

The fourth proportional to 2,507.35, 3,760.26 and 946.21 is: 1,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.35 : 3,760.26 = 946.21 : x
  2. Step 2: Convert to fraction form
    2,507.35/3,760.26 = 946.21/x
  3. Step 3: Cross multiply
    2,507.35x = 3,760.26 × 946.21
  4. Step 4: Simplify right side
    2,507.35x = 3,557,995.61
  5. Step 5: Solve for x
    x = 3,557,995.61/2,507.35
  6. Step 6: Final answer
    x = 1,419.03

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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.