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Finding the Fourth Proportional to 3,131.70, 4,319.08 and 2,635.50

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Solution

The fourth proportional to 3,131.70, 4,319.08 and 2,635.50 is: 3,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.70 : 4,319.08 = 2,635.50 : x
  2. Step 2: Convert to fraction form
    3,131.70/4,319.08 = 2,635.50/x
  3. Step 3: Cross multiply
    3,131.70x = 4,319.08 × 2,635.50
  4. Step 4: Simplify right side
    3,131.70x = 11,382,935.34
  5. Step 5: Solve for x
    x = 11,382,935.34/3,131.70
  6. Step 6: Final answer
    x = 3,634.75

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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.