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Finding the Fourth Proportional to 1,744.68, 2,406.80 and 1,619.60

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Solution

The fourth proportional to 1,744.68, 2,406.80 and 1,619.60 is: 2,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.68 : 2,406.80 = 1,619.60 : x
  2. Step 2: Convert to fraction form
    1,744.68/2,406.80 = 1,619.60/x
  3. Step 3: Cross multiply
    1,744.68x = 2,406.80 × 1,619.60
  4. Step 4: Simplify right side
    1,744.68x = 3,898,053.28
  5. Step 5: Solve for x
    x = 3,898,053.28/1,744.68
  6. Step 6: Final answer
    x = 2,234.25

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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.