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Finding the Fourth Proportional to 2,208.60, 3,290.94 and 2,124.90

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Solution

The fourth proportional to 2,208.60, 3,290.94 and 2,124.90 is: 3,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.60 : 3,290.94 = 2,124.90 : x
  2. Step 2: Convert to fraction form
    2,208.60/3,290.94 = 2,124.90/x
  3. Step 3: Cross multiply
    2,208.60x = 3,290.94 × 2,124.90
  4. Step 4: Simplify right side
    2,208.60x = 6,992,918.41
  5. Step 5: Solve for x
    x = 6,992,918.41/2,208.60
  6. Step 6: Final answer
    x = 3,166.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.