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Finding the Fourth Proportional to 1,453.56, 2,180.34 and 357.90

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Solution

The fourth proportional to 1,453.56, 2,180.34 and 357.90 is: 536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.56 : 2,180.34 = 357.90 : x
  2. Step 2: Convert to fraction form
    1,453.56/2,180.34 = 357.90/x
  3. Step 3: Cross multiply
    1,453.56x = 2,180.34 × 357.90
  4. Step 4: Simplify right side
    1,453.56x = 780,343.69
  5. Step 5: Solve for x
    x = 780,343.69/1,453.56
  6. Step 6: Final answer
    x = 536.85

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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.