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Finding the Fourth Proportional to 1,924.60, 2,882.04 and 1,057.90

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Solution

The fourth proportional to 1,924.60, 2,882.04 and 1,057.90 is: 1,584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.60 : 2,882.04 = 1,057.90 : x
  2. Step 2: Convert to fraction form
    1,924.60/2,882.04 = 1,057.90/x
  3. Step 3: Cross multiply
    1,924.60x = 2,882.04 × 1,057.90
  4. Step 4: Simplify right side
    1,924.60x = 3,048,910.12
  5. Step 5: Solve for x
    x = 3,048,910.12/1,924.60
  6. Step 6: Final answer
    x = 1,584.18

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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.