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Finding the Fourth Proportional to 1,352.61, 2,028.69 and 378.81

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Solution

The fourth proportional to 1,352.61, 2,028.69 and 378.81 is: 568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.61 : 2,028.69 = 378.81 : x
  2. Step 2: Convert to fraction form
    1,352.61/2,028.69 = 378.81/x
  3. Step 3: Cross multiply
    1,352.61x = 2,028.69 × 378.81
  4. Step 4: Simplify right side
    1,352.61x = 768,488.06
  5. Step 5: Solve for x
    x = 768,488.06/1,352.61
  6. Step 6: Final answer
    x = 568.15

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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.