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Finding the Fourth Proportional to 1,499.28, 2,247.94 and 719.26

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Solution

The fourth proportional to 1,499.28, 2,247.94 and 719.26 is: 1,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.28 : 2,247.94 = 719.26 : x
  2. Step 2: Convert to fraction form
    1,499.28/2,247.94 = 719.26/x
  3. Step 3: Cross multiply
    1,499.28x = 2,247.94 × 719.26
  4. Step 4: Simplify right side
    1,499.28x = 1,616,838.49
  5. Step 5: Solve for x
    x = 1,616,838.49/1,499.28
  6. Step 6: Final answer
    x = 1,078.41

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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.