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Finding the Fourth Proportional to 3,104.49, 4,284.22 and 1,688.20

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Solution

The fourth proportional to 3,104.49, 4,284.22 and 1,688.20 is: 2,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.49 : 4,284.22 = 1,688.20 : x
  2. Step 2: Convert to fraction form
    3,104.49/4,284.22 = 1,688.20/x
  3. Step 3: Cross multiply
    3,104.49x = 4,284.22 × 1,688.20
  4. Step 4: Simplify right side
    3,104.49x = 7,232,594.56
  5. Step 5: Solve for x
    x = 7,232,594.56/3,104.49
  6. Step 6: Final answer
    x = 2,329.72

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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.