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Finding the Fourth Proportional to 2,441.13, 3,368.74 and 1,322.05

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Solution

The fourth proportional to 2,441.13, 3,368.74 and 1,322.05 is: 1,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.13 : 3,368.74 = 1,322.05 : x
  2. Step 2: Convert to fraction form
    2,441.13/3,368.74 = 1,322.05/x
  3. Step 3: Cross multiply
    2,441.13x = 3,368.74 × 1,322.05
  4. Step 4: Simplify right side
    2,441.13x = 4,453,642.72
  5. Step 5: Solve for x
    x = 4,453,642.72/2,441.13
  6. Step 6: Final answer
    x = 1,824.42

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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.