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Finding the Fourth Proportional to 3,137.10, 4,705.74 and 945.84

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Solution

The fourth proportional to 3,137.10, 4,705.74 and 945.84 is: 1,418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.10 : 4,705.74 = 945.84 : x
  2. Step 2: Convert to fraction form
    3,137.10/4,705.74 = 945.84/x
  3. Step 3: Cross multiply
    3,137.10x = 4,705.74 × 945.84
  4. Step 4: Simplify right side
    3,137.10x = 4,450,877.12
  5. Step 5: Solve for x
    x = 4,450,877.12/3,137.10
  6. Step 6: Final answer
    x = 1,418.79

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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.