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Finding the Fourth Proportional to 1,366.99, 2,048.38 and 927.67

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Solution

The fourth proportional to 1,366.99, 2,048.38 and 927.67 is: 1,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.99 : 2,048.38 = 927.67 : x
  2. Step 2: Convert to fraction form
    1,366.99/2,048.38 = 927.67/x
  3. Step 3: Cross multiply
    1,366.99x = 2,048.38 × 927.67
  4. Step 4: Simplify right side
    1,366.99x = 1,900,205.79
  5. Step 5: Solve for x
    x = 1,900,205.79/1,366.99
  6. Step 6: Final answer
    x = 1,390.07

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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.