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Finding the Fourth Proportional to 1,423.69, 2,133.22 and 1,129.59

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Solution

The fourth proportional to 1,423.69, 2,133.22 and 1,129.59 is: 1,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.69 : 2,133.22 = 1,129.59 : x
  2. Step 2: Convert to fraction form
    1,423.69/2,133.22 = 1,129.59/x
  3. Step 3: Cross multiply
    1,423.69x = 2,133.22 × 1,129.59
  4. Step 4: Simplify right side
    1,423.69x = 2,409,674.88
  5. Step 5: Solve for x
    x = 2,409,674.88/1,423.69
  6. Step 6: Final answer
    x = 1,692.56

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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.