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Finding the Fourth Proportional to 3,137.60, 4,705.41 and 945.77

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Solution

The fourth proportional to 3,137.60, 4,705.41 and 945.77 is: 1,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.60 : 4,705.41 = 945.77 : x
  2. Step 2: Convert to fraction form
    3,137.60/4,705.41 = 945.77/x
  3. Step 3: Cross multiply
    3,137.60x = 4,705.41 × 945.77
  4. Step 4: Simplify right side
    3,137.60x = 4,450,235.62
  5. Step 5: Solve for x
    x = 4,450,235.62/3,137.60
  6. Step 6: Final answer
    x = 1,418.36

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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.