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Finding the Fourth Proportional to 4,905.64, 7,359.68 and 1,442.90

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Solution

The fourth proportional to 4,905.64, 7,359.68 and 1,442.90 is: 2,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.64 : 7,359.68 = 1,442.90 : x
  2. Step 2: Convert to fraction form
    4,905.64/7,359.68 = 1,442.90/x
  3. Step 3: Cross multiply
    4,905.64x = 7,359.68 × 1,442.90
  4. Step 4: Simplify right side
    4,905.64x = 10,619,282.27
  5. Step 5: Solve for x
    x = 10,619,282.27/4,905.64
  6. Step 6: Final answer
    x = 2,164.71

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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.