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Finding the Fourth Proportional to 1,744.88, 2,405.40 and 1,219.28

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Solution

The fourth proportional to 1,744.88, 2,405.40 and 1,219.28 is: 1,680.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.88 : 2,405.40 = 1,219.28 : x
  2. Step 2: Convert to fraction form
    1,744.88/2,405.40 = 1,219.28/x
  3. Step 3: Cross multiply
    1,744.88x = 2,405.40 × 1,219.28
  4. Step 4: Simplify right side
    1,744.88x = 2,932,856.11
  5. Step 5: Solve for x
    x = 2,932,856.11/1,744.88
  6. Step 6: Final answer
    x = 1,680.84

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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.