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Finding the Fourth Proportional to 1,372.58, 2,057.64 and 1,165.67

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Solution

The fourth proportional to 1,372.58, 2,057.64 and 1,165.67 is: 1,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.58 : 2,057.64 = 1,165.67 : x
  2. Step 2: Convert to fraction form
    1,372.58/2,057.64 = 1,165.67/x
  3. Step 3: Cross multiply
    1,372.58x = 2,057.64 × 1,165.67
  4. Step 4: Simplify right side
    1,372.58x = 2,398,518.93
  5. Step 5: Solve for x
    x = 2,398,518.93/1,372.58
  6. Step 6: Final answer
    x = 1,747.46

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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.