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Finding the Fourth Proportional to 3,041.07, 4,562.39 and 849.81

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Solution

The fourth proportional to 3,041.07, 4,562.39 and 849.81 is: 1,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.07 : 4,562.39 = 849.81 : x
  2. Step 2: Convert to fraction form
    3,041.07/4,562.39 = 849.81/x
  3. Step 3: Cross multiply
    3,041.07x = 4,562.39 × 849.81
  4. Step 4: Simplify right side
    3,041.07x = 3,877,160.40
  5. Step 5: Solve for x
    x = 3,877,160.40/3,041.07
  6. Step 6: Final answer
    x = 1,274.93

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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.