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Finding the Fourth Proportional to 1,519.04, 2,277.16 and 738.60

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Solution

The fourth proportional to 1,519.04, 2,277.16 and 738.60 is: 1,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.04 : 2,277.16 = 738.60 : x
  2. Step 2: Convert to fraction form
    1,519.04/2,277.16 = 738.60/x
  3. Step 3: Cross multiply
    1,519.04x = 2,277.16 × 738.60
  4. Step 4: Simplify right side
    1,519.04x = 1,681,910.38
  5. Step 5: Solve for x
    x = 1,681,910.38/1,519.04
  6. Step 6: Final answer
    x = 1,107.22

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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.