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Finding the Fourth Proportional to 1,739.20, 2,401.02 and 1,182.64

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Solution

The fourth proportional to 1,739.20, 2,401.02 and 1,182.64 is: 1,632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.20 : 2,401.02 = 1,182.64 : x
  2. Step 2: Convert to fraction form
    1,739.20/2,401.02 = 1,182.64/x
  3. Step 3: Cross multiply
    1,739.20x = 2,401.02 × 1,182.64
  4. Step 4: Simplify right side
    1,739.20x = 2,839,542.29
  5. Step 5: Solve for x
    x = 2,839,542.29/1,739.20
  6. Step 6: Final answer
    x = 1,632.67

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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.