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Finding the Fourth Proportional to 3,137.70, 4,332.78 and 1,960.78

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Solution

The fourth proportional to 3,137.70, 4,332.78 and 1,960.78 is: 2,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.70 : 4,332.78 = 1,960.78 : x
  2. Step 2: Convert to fraction form
    3,137.70/4,332.78 = 1,960.78/x
  3. Step 3: Cross multiply
    3,137.70x = 4,332.78 × 1,960.78
  4. Step 4: Simplify right side
    3,137.70x = 8,495,628.37
  5. Step 5: Solve for x
    x = 8,495,628.37/3,137.70
  6. Step 6: Final answer
    x = 2,707.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.