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Finding the Fourth Proportional to 2,137.69, 3,206.88 and 656.87

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Solution

The fourth proportional to 2,137.69, 3,206.88 and 656.87 is: 985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.69 : 3,206.88 = 656.87 : x
  2. Step 2: Convert to fraction form
    2,137.69/3,206.88 = 656.87/x
  3. Step 3: Cross multiply
    2,137.69x = 3,206.88 × 656.87
  4. Step 4: Simplify right side
    2,137.69x = 2,106,503.27
  5. Step 5: Solve for x
    x = 2,106,503.27/2,137.69
  6. Step 6: Final answer
    x = 985.41

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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.