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Finding the Fourth Proportional to 2,322.81, 3,485.19 and 1,446.05

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Solution

The fourth proportional to 2,322.81, 3,485.19 and 1,446.05 is: 2,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.81 : 3,485.19 = 1,446.05 : x
  2. Step 2: Convert to fraction form
    2,322.81/3,485.19 = 1,446.05/x
  3. Step 3: Cross multiply
    2,322.81x = 3,485.19 × 1,446.05
  4. Step 4: Simplify right side
    2,322.81x = 5,039,746.46
  5. Step 5: Solve for x
    x = 5,039,746.46/2,322.81
  6. Step 6: Final answer
    x = 2,169.68

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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.