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Finding the Fourth Proportional to 3,057.20, 4,584.11 and 948.24

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Solution

The fourth proportional to 3,057.20, 4,584.11 and 948.24 is: 1,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.20 : 4,584.11 = 948.24 : x
  2. Step 2: Convert to fraction form
    3,057.20/4,584.11 = 948.24/x
  3. Step 3: Cross multiply
    3,057.20x = 4,584.11 × 948.24
  4. Step 4: Simplify right side
    3,057.20x = 4,346,830.02
  5. Step 5: Solve for x
    x = 4,346,830.02/3,057.20
  6. Step 6: Final answer
    x = 1,421.84

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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.