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Finding the Fourth Proportional to 3,137.07, 4,705.23 and 945.81

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Solution

The fourth proportional to 3,137.07, 4,705.23 and 945.81 is: 1,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.07 : 4,705.23 = 945.81 : x
  2. Step 2: Convert to fraction form
    3,137.07/4,705.23 = 945.81/x
  3. Step 3: Cross multiply
    3,137.07x = 4,705.23 × 945.81
  4. Step 4: Simplify right side
    3,137.07x = 4,450,253.59
  5. Step 5: Solve for x
    x = 4,450,253.59/3,137.07
  6. Step 6: Final answer
    x = 1,418.60

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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.