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Finding the Fourth Proportional to 2,624.28, 3,621 and 1,739.61

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Solution

The fourth proportional to 2,624.28, 3,621 and 1,739.61 is: 2,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.28 : 3,621 = 1,739.61 : x
  2. Step 2: Convert to fraction form
    2,624.28/3,621 = 1,739.61/x
  3. Step 3: Cross multiply
    2,624.28x = 3,621 × 1,739.61
  4. Step 4: Simplify right side
    2,624.28x = 6,299,127.81
  5. Step 5: Solve for x
    x = 6,299,127.81/2,624.28
  6. Step 6: Final answer
    x = 2,400.33

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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.