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Finding the Fourth Proportional to 1,399.41, 1,929.92 and 1,119.67

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Solution

The fourth proportional to 1,399.41, 1,929.92 and 1,119.67 is: 1,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.41 : 1,929.92 = 1,119.67 : x
  2. Step 2: Convert to fraction form
    1,399.41/1,929.92 = 1,119.67/x
  3. Step 3: Cross multiply
    1,399.41x = 1,929.92 × 1,119.67
  4. Step 4: Simplify right side
    1,399.41x = 2,160,863.10
  5. Step 5: Solve for x
    x = 2,160,863.10/1,399.41
  6. Step 6: Final answer
    x = 1,544.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.