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Finding the Fourth Proportional to 1,519.16, 2,278.34 and 738.74

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Solution

The fourth proportional to 1,519.16, 2,278.34 and 738.74 is: 1,107.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.16 : 2,278.34 = 738.74 : x
  2. Step 2: Convert to fraction form
    1,519.16/2,278.34 = 738.74/x
  3. Step 3: Cross multiply
    1,519.16x = 2,278.34 × 738.74
  4. Step 4: Simplify right side
    1,519.16x = 1,683,100.89
  5. Step 5: Solve for x
    x = 1,683,100.89/1,519.16
  6. Step 6: Final answer
    x = 1,107.92

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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.