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Finding the Fourth Proportional to 2,922.60, 4,381.44 and 2,402.64

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Solution

The fourth proportional to 2,922.60, 4,381.44 and 2,402.64 is: 3,601.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.60 : 4,381.44 = 2,402.64 : x
  2. Step 2: Convert to fraction form
    2,922.60/4,381.44 = 2,402.64/x
  3. Step 3: Cross multiply
    2,922.60x = 4,381.44 × 2,402.64
  4. Step 4: Simplify right side
    2,922.60x = 10,527,023.00
  5. Step 5: Solve for x
    x = 10,527,023.00/2,922.60
  6. Step 6: Final answer
    x = 3,601.94

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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.