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Finding the Fourth Proportional to 1,427.05, 2,000.75 and 1,427.05

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Solution

The fourth proportional to 1,427.05, 2,000.75 and 1,427.05 is: 2,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.05 : 2,000.75 = 1,427.05 : x
  2. Step 2: Convert to fraction form
    1,427.05/2,000.75 = 1,427.05/x
  3. Step 3: Cross multiply
    1,427.05x = 2,000.75 × 1,427.05
  4. Step 4: Simplify right side
    1,427.05x = 2,855,170.29
  5. Step 5: Solve for x
    x = 2,855,170.29/1,427.05
  6. Step 6: Final answer
    x = 2,000.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.