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Finding the Fourth Proportional to 1,513.89, 2,089.23 and 850.91

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Solution

The fourth proportional to 1,513.89, 2,089.23 and 850.91 is: 1,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.89 : 2,089.23 = 850.91 : x
  2. Step 2: Convert to fraction form
    1,513.89/2,089.23 = 850.91/x
  3. Step 3: Cross multiply
    1,513.89x = 2,089.23 × 850.91
  4. Step 4: Simplify right side
    1,513.89x = 1,777,733.06
  5. Step 5: Solve for x
    x = 1,777,733.06/1,513.89
  6. Step 6: Final answer
    x = 1,174.28

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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.