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Finding the Fourth Proportional to 2,423.77, 3,632 and 1,189.68

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Solution

The fourth proportional to 2,423.77, 3,632 and 1,189.68 is: 1,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.77 : 3,632 = 1,189.68 : x
  2. Step 2: Convert to fraction form
    2,423.77/3,632 = 1,189.68/x
  3. Step 3: Cross multiply
    2,423.77x = 3,632 × 1,189.68
  4. Step 4: Simplify right side
    2,423.77x = 4,320,917.76
  5. Step 5: Solve for x
    x = 4,320,917.76/2,423.77
  6. Step 6: Final answer
    x = 1,782.73

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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.