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Finding the Fourth Proportional to 2,441.40, 3,662.30 and 1,054.80

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Solution

The fourth proportional to 2,441.40, 3,662.30 and 1,054.80 is: 1,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.40 : 3,662.30 = 1,054.80 : x
  2. Step 2: Convert to fraction form
    2,441.40/3,662.30 = 1,054.80/x
  3. Step 3: Cross multiply
    2,441.40x = 3,662.30 × 1,054.80
  4. Step 4: Simplify right side
    2,441.40x = 3,862,994.04
  5. Step 5: Solve for x
    x = 3,862,994.04/2,441.40
  6. Step 6: Final answer
    x = 1,582.29

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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.