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Finding the Fourth Proportional to 3,041.14, 4,561.72 and 849.93

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Solution

The fourth proportional to 3,041.14, 4,561.72 and 849.93 is: 1,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.14 : 4,561.72 = 849.93 : x
  2. Step 2: Convert to fraction form
    3,041.14/4,561.72 = 849.93/x
  3. Step 3: Cross multiply
    3,041.14x = 4,561.72 × 849.93
  4. Step 4: Simplify right side
    3,041.14x = 3,877,142.68
  5. Step 5: Solve for x
    x = 3,877,142.68/3,041.14
  6. Step 6: Final answer
    x = 1,274.90

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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.