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Finding the Fourth Proportional to 3,322.68, 4,585.32 and 2,142.24

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Solution

The fourth proportional to 3,322.68, 4,585.32 and 2,142.24 is: 2,956.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.68 : 4,585.32 = 2,142.24 : x
  2. Step 2: Convert to fraction form
    3,322.68/4,585.32 = 2,142.24/x
  3. Step 3: Cross multiply
    3,322.68x = 4,585.32 × 2,142.24
  4. Step 4: Simplify right side
    3,322.68x = 9,822,855.92
  5. Step 5: Solve for x
    x = 9,822,855.92/3,322.68
  6. Step 6: Final answer
    x = 2,956.31

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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.