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Finding the Fourth Proportional to 2,442.60, 3,654.72 and 1,622.88

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Solution

The fourth proportional to 2,442.60, 3,654.72 and 1,622.88 is: 2,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.60 : 3,654.72 = 1,622.88 : x
  2. Step 2: Convert to fraction form
    2,442.60/3,654.72 = 1,622.88/x
  3. Step 3: Cross multiply
    2,442.60x = 3,654.72 × 1,622.88
  4. Step 4: Simplify right side
    2,442.60x = 5,931,171.99
  5. Step 5: Solve for x
    x = 5,931,171.99/2,442.60
  6. Step 6: Final answer
    x = 2,428.22

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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.