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Finding the Fourth Proportional to 1,914.00, 2,855.10 and 1,882.29

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Solution

The fourth proportional to 1,914.00, 2,855.10 and 1,882.29 is: 2,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.00 : 2,855.10 = 1,882.29 : x
  2. Step 2: Convert to fraction form
    1,914.00/2,855.10 = 1,882.29/x
  3. Step 3: Cross multiply
    1,914.00x = 2,855.10 × 1,882.29
  4. Step 4: Simplify right side
    1,914.00x = 5,374,117.30
  5. Step 5: Solve for x
    x = 5,374,117.30/1,914.00
  6. Step 6: Final answer
    x = 2,807.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.