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Finding the Fourth Proportional to 3,385.75, 4,672.74 and 1,988.50

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Solution

The fourth proportional to 3,385.75, 4,672.74 and 1,988.50 is: 2,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.75 : 4,672.74 = 1,988.50 : x
  2. Step 2: Convert to fraction form
    3,385.75/4,672.74 = 1,988.50/x
  3. Step 3: Cross multiply
    3,385.75x = 4,672.74 × 1,988.50
  4. Step 4: Simplify right side
    3,385.75x = 9,291,743.49
  5. Step 5: Solve for x
    x = 9,291,743.49/3,385.75
  6. Step 6: Final answer
    x = 2,744.37

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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.