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Finding the Fourth Proportional to 1,351.37, 2,026.85 and 377.25

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Solution

The fourth proportional to 1,351.37, 2,026.85 and 377.25 is: 565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.37 : 2,026.85 = 377.25 : x
  2. Step 2: Convert to fraction form
    1,351.37/2,026.85 = 377.25/x
  3. Step 3: Cross multiply
    1,351.37x = 2,026.85 × 377.25
  4. Step 4: Simplify right side
    1,351.37x = 764,627.28
  5. Step 5: Solve for x
    x = 764,627.28/1,351.37
  6. Step 6: Final answer
    x = 565.82

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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.