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Finding the Fourth Proportional to 1,513.81, 2,089.02 and 850.69

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Solution

The fourth proportional to 1,513.81, 2,089.02 and 850.69 is: 1,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.81 : 2,089.02 = 850.69 : x
  2. Step 2: Convert to fraction form
    1,513.81/2,089.02 = 850.69/x
  3. Step 3: Cross multiply
    1,513.81x = 2,089.02 × 850.69
  4. Step 4: Simplify right side
    1,513.81x = 1,777,108.42
  5. Step 5: Solve for x
    x = 1,777,108.42/1,513.81
  6. Step 6: Final answer
    x = 1,173.93

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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.