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Finding the Fourth Proportional to 3,041.23, 4,561.78 and 849.91

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Solution

The fourth proportional to 3,041.23, 4,561.78 and 849.91 is: 1,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.23 : 4,561.78 = 849.91 : x
  2. Step 2: Convert to fraction form
    3,041.23/4,561.78 = 849.91/x
  3. Step 3: Cross multiply
    3,041.23x = 4,561.78 × 849.91
  4. Step 4: Simplify right side
    3,041.23x = 3,877,102.44
  5. Step 5: Solve for x
    x = 3,877,102.44/3,041.23
  6. Step 6: Final answer
    x = 1,274.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.