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Finding the Fourth Proportional to 3,322.58, 4,580.08 and 2,142.14

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Solution

The fourth proportional to 3,322.58, 4,580.08 and 2,142.14 is: 2,952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.58 : 4,580.08 = 2,142.14 : x
  2. Step 2: Convert to fraction form
    3,322.58/4,580.08 = 2,142.14/x
  3. Step 3: Cross multiply
    3,322.58x = 4,580.08 × 2,142.14
  4. Step 4: Simplify right side
    3,322.58x = 9,811,144.32
  5. Step 5: Solve for x
    x = 9,811,144.32/3,322.58
  6. Step 6: Final answer
    x = 2,952.87

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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.