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Finding the Fourth Proportional to 1,372.47, 2,057.21 and 786.19

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Solution

The fourth proportional to 1,372.47, 2,057.21 and 786.19 is: 1,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.47 : 2,057.21 = 786.19 : x
  2. Step 2: Convert to fraction form
    1,372.47/2,057.21 = 786.19/x
  3. Step 3: Cross multiply
    1,372.47x = 2,057.21 × 786.19
  4. Step 4: Simplify right side
    1,372.47x = 1,617,357.93
  5. Step 5: Solve for x
    x = 1,617,357.93/1,372.47
  6. Step 6: Final answer
    x = 1,178.43

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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.