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Finding the Fourth Proportional to 1,807.21, 2,493.72 and 1,021.09

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Solution

The fourth proportional to 1,807.21, 2,493.72 and 1,021.09 is: 1,408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.21 : 2,493.72 = 1,021.09 : x
  2. Step 2: Convert to fraction form
    1,807.21/2,493.72 = 1,021.09/x
  3. Step 3: Cross multiply
    1,807.21x = 2,493.72 × 1,021.09
  4. Step 4: Simplify right side
    1,807.21x = 2,546,312.55
  5. Step 5: Solve for x
    x = 2,546,312.55/1,807.21
  6. Step 6: Final answer
    x = 1,408.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.