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Finding the Fourth Proportional to 3,137.88, 4,705.74 and 1,190.64

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Solution

The fourth proportional to 3,137.88, 4,705.74 and 1,190.64 is: 1,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.88 : 4,705.74 = 1,190.64 : x
  2. Step 2: Convert to fraction form
    3,137.88/4,705.74 = 1,190.64/x
  3. Step 3: Cross multiply
    3,137.88x = 4,705.74 × 1,190.64
  4. Step 4: Simplify right side
    3,137.88x = 5,602,842.27
  5. Step 5: Solve for x
    x = 5,602,842.27/3,137.88
  6. Step 6: Final answer
    x = 1,785.55

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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.